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Finding the Third Proportional to 53,931 and 81,651

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Solution

The third proportional to 53,931 and 81,651 is: 123,618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,931 : 81,651 = 81,651 : x
  2. Step 2: Convert to fraction form
    53,931/81,651 = 81,651/x
  3. Step 3: Cross multiply
    53,931x = 81,651 × 81,651
  4. Step 4: Simplify right side
    53,931x = 6,666,885,801
  5. Step 5: Solve for x
    x = 6,666,885,801/53,931
  6. Step 6: Final answer
    x = 123,618.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.