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Finding the Third Proportional to 573,794,747,129 and 1,255,680,342,144

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Solution

The third proportional to 573,794,747,129 and 1,255,680,342,144 is: 2,747,904,419,718.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,794,747,129 : 1,255,680,342,144 = 1,255,680,342,144 : x
  2. Step 2: Convert to fraction form
    573,794,747,129/1,255,680,342,144 = 1,255,680,342,144/x
  3. Step 3: Cross multiply
    573,794,747,129x = 1,255,680,342,144 × 1,255,680,342,144
  4. Step 4: Simplify right side
    573,794,747,129x = 1,576,733,121,646,873,007,882,240
  5. Step 5: Solve for x
    x = 1,576,733,121,646,873,007,882,240/573,794,747,129
  6. Step 6: Final answer
    x = 2,747,904,419,718.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.