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Finding the Third Proportional to 20,400 and 28,730

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Solution

The third proportional to 20,400 and 28,730 is: 40,461.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,400 : 28,730 = 28,730 : x
  2. Step 2: Convert to fraction form
    20,400/28,730 = 28,730/x
  3. Step 3: Cross multiply
    20,400x = 28,730 × 28,730
  4. Step 4: Simplify right side
    20,400x = 825,412,900
  5. Step 5: Solve for x
    x = 825,412,900/20,400
  6. Step 6: Final answer
    x = 40,461.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.