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Finding the Third Proportional to 10,431 and 14,614.50

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Solution

The third proportional to 10,431 and 14,614.50 is: 20,475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431 : 14,614.50 = 14,614.50 : x
  2. Step 2: Convert to fraction form
    10,431/14,614.50 = 14,614.50/x
  3. Step 3: Cross multiply
    10,431x = 14,614.50 × 14,614.50
  4. Step 4: Simplify right side
    10,431x = 213,583,610.25
  5. Step 5: Solve for x
    x = 213,583,610.25/10,431
  6. Step 6: Final answer
    x = 20,475.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.