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Finding the Third Proportional to 9,687 and 10,618.50

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Solution

The third proportional to 9,687 and 10,618.50 is: 11,639.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687 : 10,618.50 = 10,618.50 : x
  2. Step 2: Convert to fraction form
    9,687/10,618.50 = 10,618.50/x
  3. Step 3: Cross multiply
    9,687x = 10,618.50 × 10,618.50
  4. Step 4: Simplify right side
    9,687x = 112,752,542.25
  5. Step 5: Solve for x
    x = 112,752,542.25/9,687
  6. Step 6: Final answer
    x = 11,639.57

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.