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Finding the Third Proportional to 20,605 and 39,569

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Solution

The third proportional to 20,605 and 39,569 is: 75,986.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,605 : 39,569 = 39,569 : x
  2. Step 2: Convert to fraction form
    20,605/39,569 = 39,569/x
  3. Step 3: Cross multiply
    20,605x = 39,569 × 39,569
  4. Step 4: Simplify right side
    20,605x = 1,565,705,761
  5. Step 5: Solve for x
    x = 1,565,705,761/20,605
  6. Step 6: Final answer
    x = 75,986.69

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.