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Finding the Third Proportional to 20,603 and 39,565

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Solution

The third proportional to 20,603 and 39,565 is: 75,978.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,603 : 39,565 = 39,565 : x
  2. Step 2: Convert to fraction form
    20,603/39,565 = 39,565/x
  3. Step 3: Cross multiply
    20,603x = 39,565 × 39,565
  4. Step 4: Simplify right side
    20,603x = 1,565,389,225
  5. Step 5: Solve for x
    x = 1,565,389,225/20,603
  6. Step 6: Final answer
    x = 75,978.70

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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.