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Finding the Third Proportional to 4,113 and 8,775

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Solution

The third proportional to 4,113 and 8,775 is: 18,721.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113 : 8,775 = 8,775 : x
  2. Step 2: Convert to fraction form
    4,113/8,775 = 8,775/x
  3. Step 3: Cross multiply
    4,113x = 8,775 × 8,775
  4. Step 4: Simplify right side
    4,113x = 77,000,625
  5. Step 5: Solve for x
    x = 77,000,625/4,113
  6. Step 6: Final answer
    x = 18,721.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.