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Finding the Third Proportional to 53,657 and 78,839

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Solution

The third proportional to 53,657 and 78,839 is: 115,839.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,657 : 78,839 = 78,839 : x
  2. Step 2: Convert to fraction form
    53,657/78,839 = 78,839/x
  3. Step 3: Cross multiply
    53,657x = 78,839 × 78,839
  4. Step 4: Simplify right side
    53,657x = 6,215,587,921
  5. Step 5: Solve for x
    x = 6,215,587,921/53,657
  6. Step 6: Final answer
    x = 115,839.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.