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Finding the Third Proportional to 136,478 and 293,485

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Solution

The third proportional to 136,478 and 293,485 is: 631,115.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,478 : 293,485 = 293,485 : x
  2. Step 2: Convert to fraction form
    136,478/293,485 = 293,485/x
  3. Step 3: Cross multiply
    136,478x = 293,485 × 293,485
  4. Step 4: Simplify right side
    136,478x = 86,133,445,225
  5. Step 5: Solve for x
    x = 86,133,445,225/136,478
  6. Step 6: Final answer
    x = 631,115.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.