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Finding the Third Proportional to 4,098 and 8,614.50

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Solution

The third proportional to 4,098 and 8,614.50 is: 18,108.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098 : 8,614.50 = 8,614.50 : x
  2. Step 2: Convert to fraction form
    4,098/8,614.50 = 8,614.50/x
  3. Step 3: Cross multiply
    4,098x = 8,614.50 × 8,614.50
  4. Step 4: Simplify right side
    4,098x = 74,209,610.25
  5. Step 5: Solve for x
    x = 74,209,610.25/4,098
  6. Step 6: Final answer
    x = 18,108.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.