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Finding the Third Proportional to 20,708 and 38,284

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Solution

The third proportional to 20,708 and 38,284 is: 70,777.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,708 : 38,284 = 38,284 : x
  2. Step 2: Convert to fraction form
    20,708/38,284 = 38,284/x
  3. Step 3: Cross multiply
    20,708x = 38,284 × 38,284
  4. Step 4: Simplify right side
    20,708x = 1,465,664,656
  5. Step 5: Solve for x
    x = 1,465,664,656/20,708
  6. Step 6: Final answer
    x = 70,777.70

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.