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Finding the Third Proportional to 62,480 and 140,644

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Solution

The third proportional to 62,480 and 140,644 is: 316,593.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,480 : 140,644 = 140,644 : x
  2. Step 2: Convert to fraction form
    62,480/140,644 = 140,644/x
  3. Step 3: Cross multiply
    62,480x = 140,644 × 140,644
  4. Step 4: Simplify right side
    62,480x = 19,780,734,736
  5. Step 5: Solve for x
    x = 19,780,734,736/62,480
  6. Step 6: Final answer
    x = 316,593.07

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.