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Finding the Third Proportional to 8,717.50 and 18,632

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Solution

The third proportional to 8,717.50 and 18,632 is: 39,822.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,717.50 : 18,632 = 18,632 : x
  2. Step 2: Convert to fraction form
    8,717.50/18,632 = 18,632/x
  3. Step 3: Cross multiply
    8,717.50x = 18,632 × 18,632
  4. Step 4: Simplify right side
    8,717.50x = 347,151,424
  5. Step 5: Solve for x
    x = 347,151,424/8,717.50
  6. Step 6: Final answer
    x = 39,822.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.