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Finding the Third Proportional to 132,712 and 291,312

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Solution

The third proportional to 132,712 and 291,312 is: 639,449.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,712 : 291,312 = 291,312 : x
  2. Step 2: Convert to fraction form
    132,712/291,312 = 291,312/x
  3. Step 3: Cross multiply
    132,712x = 291,312 × 291,312
  4. Step 4: Simplify right side
    132,712x = 84,862,681,344
  5. Step 5: Solve for x
    x = 84,862,681,344/132,712
  6. Step 6: Final answer
    x = 639,449.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.