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Finding the Third Proportional to 18,725 and 28,472

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Solution

The third proportional to 18,725 and 28,472 is: 43,292.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,725 : 28,472 = 28,472 : x
  2. Step 2: Convert to fraction form
    18,725/28,472 = 28,472/x
  3. Step 3: Cross multiply
    18,725x = 28,472 × 28,472
  4. Step 4: Simplify right side
    18,725x = 810,654,784
  5. Step 5: Solve for x
    x = 810,654,784/18,725
  6. Step 6: Final answer
    x = 43,292.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.