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Finding the Third Proportional to 7,117.50 and 14,691

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Solution

The third proportional to 7,117.50 and 14,691 is: 30,323.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.50 : 14,691 = 14,691 : x
  2. Step 2: Convert to fraction form
    7,117.50/14,691 = 14,691/x
  3. Step 3: Cross multiply
    7,117.50x = 14,691 × 14,691
  4. Step 4: Simplify right side
    7,117.50x = 215,825,481
  5. Step 5: Solve for x
    x = 215,825,481/7,117.50
  6. Step 6: Final answer
    x = 30,323.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.