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Finding the Third Proportional to 39,710 and 54,606

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Solution

The third proportional to 39,710 and 54,606 is: 75,089.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,710 : 54,606 = 54,606 : x
  2. Step 2: Convert to fraction form
    39,710/54,606 = 54,606/x
  3. Step 3: Cross multiply
    39,710x = 54,606 × 54,606
  4. Step 4: Simplify right side
    39,710x = 2,981,815,236
  5. Step 5: Solve for x
    x = 2,981,815,236/39,710
  6. Step 6: Final answer
    x = 75,089.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.