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Finding the Third Proportional to 142,287 and 329,412

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Solution

The third proportional to 142,287 and 329,412 is: 762,629.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,287 : 329,412 = 329,412 : x
  2. Step 2: Convert to fraction form
    142,287/329,412 = 329,412/x
  3. Step 3: Cross multiply
    142,287x = 329,412 × 329,412
  4. Step 4: Simplify right side
    142,287x = 108,512,265,744
  5. Step 5: Solve for x
    x = 108,512,265,744/142,287
  6. Step 6: Final answer
    x = 762,629.51

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.