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Finding the Third Proportional to 654,105,543 and 1,005,405,342

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Solution

The third proportional to 654,105,543 and 1,005,405,342 is: 1,545,377,366.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,105,543 : 1,005,405,342 = 1,005,405,342 : x
  2. Step 2: Convert to fraction form
    654,105,543/1,005,405,342 = 1,005,405,342/x
  3. Step 3: Cross multiply
    654,105,543x = 1,005,405,342 × 1,005,405,342
  4. Step 4: Simplify right side
    654,105,543x = 1,010,839,901,722,136,960
  5. Step 5: Solve for x
    x = 1,010,839,901,722,136,960/654,105,543
  6. Step 6: Final answer
    x = 1,545,377,366.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.