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Finding the Third Proportional to 8,691 and 13,398.50

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Solution

The third proportional to 8,691 and 13,398.50 is: 20,655.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691 : 13,398.50 = 13,398.50 : x
  2. Step 2: Convert to fraction form
    8,691/13,398.50 = 13,398.50/x
  3. Step 3: Cross multiply
    8,691x = 13,398.50 × 13,398.50
  4. Step 4: Simplify right side
    8,691x = 179,519,802.25
  5. Step 5: Solve for x
    x = 179,519,802.25/8,691
  6. Step 6: Final answer
    x = 20,655.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.