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Finding the Third Proportional to 142,754 and 307,432

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Solution

The third proportional to 142,754 and 307,432 is: 662,079.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,754 : 307,432 = 307,432 : x
  2. Step 2: Convert to fraction form
    142,754/307,432 = 307,432/x
  3. Step 3: Cross multiply
    142,754x = 307,432 × 307,432
  4. Step 4: Simplify right side
    142,754x = 94,514,434,624
  5. Step 5: Solve for x
    x = 94,514,434,624/142,754
  6. Step 6: Final answer
    x = 662,079.06

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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.