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Finding the Third Proportional to 5,862.38 and 9,142.88

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Solution

The third proportional to 5,862.38 and 9,142.88 is: 14,259.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.38 : 9,142.88 = 9,142.88 : x
  2. Step 2: Convert to fraction form
    5,862.38/9,142.88 = 9,142.88/x
  3. Step 3: Cross multiply
    5,862.38x = 9,142.88 × 9,142.88
  4. Step 4: Simplify right side
    5,862.38x = 83,592,163.27
  5. Step 5: Solve for x
    x = 83,592,163.27/5,862.38
  6. Step 6: Final answer
    x = 14,259.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.