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Finding the Third Proportional to 8,765.50 and 18,761

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Solution

The third proportional to 8,765.50 and 18,761 is: 40,154.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,765.50 : 18,761 = 18,761 : x
  2. Step 2: Convert to fraction form
    8,765.50/18,761 = 18,761/x
  3. Step 3: Cross multiply
    8,765.50x = 18,761 × 18,761
  4. Step 4: Simplify right side
    8,765.50x = 351,975,121
  5. Step 5: Solve for x
    x = 351,975,121/8,765.50
  6. Step 6: Final answer
    x = 40,154.60

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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.