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Finding the Third Proportional to 53,917 and 81,630

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Solution

The third proportional to 53,917 and 81,630 is: 123,587.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,917 : 81,630 = 81,630 : x
  2. Step 2: Convert to fraction form
    53,917/81,630 = 81,630/x
  3. Step 3: Cross multiply
    53,917x = 81,630 × 81,630
  4. Step 4: Simplify right side
    53,917x = 6,663,456,900
  5. Step 5: Solve for x
    x = 6,663,456,900/53,917
  6. Step 6: Final answer
    x = 123,587.31

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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.