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Finding the Third Proportional to 53,840 and 81,732

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Solution

The third proportional to 53,840 and 81,732 is: 124,073.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,840 : 81,732 = 81,732 : x
  2. Step 2: Convert to fraction form
    53,840/81,732 = 81,732/x
  3. Step 3: Cross multiply
    53,840x = 81,732 × 81,732
  4. Step 4: Simplify right side
    53,840x = 6,680,119,824
  5. Step 5: Solve for x
    x = 6,680,119,824/53,840
  6. Step 6: Final answer
    x = 124,073.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.