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Finding the Third Proportional to 39,386 and 55,163

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Solution

The third proportional to 39,386 and 55,163 is: 77,259.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,386 : 55,163 = 55,163 : x
  2. Step 2: Convert to fraction form
    39,386/55,163 = 55,163/x
  3. Step 3: Cross multiply
    39,386x = 55,163 × 55,163
  4. Step 4: Simplify right side
    39,386x = 3,042,956,569
  5. Step 5: Solve for x
    x = 3,042,956,569/39,386
  6. Step 6: Final answer
    x = 77,259.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.