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Finding the Third Proportional to 39,700 and 54,689

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Solution

The third proportional to 39,700 and 54,689 is: 75,337.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,700 : 54,689 = 54,689 : x
  2. Step 2: Convert to fraction form
    39,700/54,689 = 54,689/x
  3. Step 3: Cross multiply
    39,700x = 54,689 × 54,689
  4. Step 4: Simplify right side
    39,700x = 2,990,886,721
  5. Step 5: Solve for x
    x = 2,990,886,721/39,700
  6. Step 6: Final answer
    x = 75,337.20

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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.