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Finding the Third Proportional to 20,394 and 28,719

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Solution

The third proportional to 20,394 and 28,719 is: 40,442.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,394 : 28,719 = 28,719 : x
  2. Step 2: Convert to fraction form
    20,394/28,719 = 28,719/x
  3. Step 3: Cross multiply
    20,394x = 28,719 × 28,719
  4. Step 4: Simplify right side
    20,394x = 824,780,961
  5. Step 5: Solve for x
    x = 824,780,961/20,394
  6. Step 6: Final answer
    x = 40,442.33

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1.5x scale

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.