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Finding the Third Proportional to 61,815 and 92,680

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Solution

The third proportional to 61,815 and 92,680 is: 138,956.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,815 : 92,680 = 92,680 : x
  2. Step 2: Convert to fraction form
    61,815/92,680 = 92,680/x
  3. Step 3: Cross multiply
    61,815x = 92,680 × 92,680
  4. Step 4: Simplify right side
    61,815x = 8,589,582,400
  5. Step 5: Solve for x
    x = 8,589,582,400/61,815
  6. Step 6: Final answer
    x = 138,956.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.