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Finding the Third Proportional to 4,680.56 and 9,691.88

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Solution

The third proportional to 4,680.56 and 9,691.88 is: 20,068.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680.56 : 9,691.88 = 9,691.88 : x
  2. Step 2: Convert to fraction form
    4,680.56/9,691.88 = 9,691.88/x
  3. Step 3: Cross multiply
    4,680.56x = 9,691.88 × 9,691.88
  4. Step 4: Simplify right side
    4,680.56x = 93,932,441.02
  5. Step 5: Solve for x
    x = 93,932,441.02/4,680.56
  6. Step 6: Final answer
    x = 20,068.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.