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Finding the Third Proportional to 18,253.50 and 39,423

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Solution

The third proportional to 18,253.50 and 39,423 is: 85,143.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,253.50 : 39,423 = 39,423 : x
  2. Step 2: Convert to fraction form
    18,253.50/39,423 = 39,423/x
  3. Step 3: Cross multiply
    18,253.50x = 39,423 × 39,423
  4. Step 4: Simplify right side
    18,253.50x = 1,554,172,929
  5. Step 5: Solve for x
    x = 1,554,172,929/18,253.50
  6. Step 6: Final answer
    x = 85,143.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.