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Finding the Third Proportional to 134,712 and 292,720

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Solution

The third proportional to 134,712 and 292,720 is: 636,060.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,712 : 292,720 = 292,720 : x
  2. Step 2: Convert to fraction form
    134,712/292,720 = 292,720/x
  3. Step 3: Cross multiply
    134,712x = 292,720 × 292,720
  4. Step 4: Simplify right side
    134,712x = 85,684,998,400
  5. Step 5: Solve for x
    x = 85,684,998,400/134,712
  6. Step 6: Final answer
    x = 636,060.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.