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Finding the Third Proportional to 61,392 and 86,654

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Solution

The third proportional to 61,392 and 86,654 is: 122,310.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,392 : 86,654 = 86,654 : x
  2. Step 2: Convert to fraction form
    61,392/86,654 = 86,654/x
  3. Step 3: Cross multiply
    61,392x = 86,654 × 86,654
  4. Step 4: Simplify right side
    61,392x = 7,508,915,716
  5. Step 5: Solve for x
    x = 7,508,915,716/61,392
  6. Step 6: Final answer
    x = 122,310.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.