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Finding the Third Proportional to 52,712 and 81,396

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Solution

The third proportional to 52,712 and 81,396 is: 125,688.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,712 : 81,396 = 81,396 : x
  2. Step 2: Convert to fraction form
    52,712/81,396 = 81,396/x
  3. Step 3: Cross multiply
    52,712x = 81,396 × 81,396
  4. Step 4: Simplify right side
    52,712x = 6,625,308,816
  5. Step 5: Solve for x
    x = 6,625,308,816/52,712
  6. Step 6: Final answer
    x = 125,688.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.