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Finding the Third Proportional to 39,309 and 55,567

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Solution

The third proportional to 39,309 and 55,567 is: 78,549.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,309 : 55,567 = 55,567 : x
  2. Step 2: Convert to fraction form
    39,309/55,567 = 55,567/x
  3. Step 3: Cross multiply
    39,309x = 55,567 × 55,567
  4. Step 4: Simplify right side
    39,309x = 3,087,691,489
  5. Step 5: Solve for x
    x = 3,087,691,489/39,309
  6. Step 6: Final answer
    x = 78,549.23

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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.