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Finding the Third Proportional to 8,731.50 and 18,447

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Solution

The third proportional to 8,731.50 and 18,447 is: 38,972.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,731.50 : 18,447 = 18,447 : x
  2. Step 2: Convert to fraction form
    8,731.50/18,447 = 18,447/x
  3. Step 3: Cross multiply
    8,731.50x = 18,447 × 18,447
  4. Step 4: Simplify right side
    8,731.50x = 340,291,809
  5. Step 5: Solve for x
    x = 340,291,809/8,731.50
  6. Step 6: Final answer
    x = 38,972.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.