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Finding the Third Proportional to 39,682 and 53,865

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Solution

The third proportional to 39,682 and 53,865 is: 73,117.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,682 : 53,865 = 53,865 : x
  2. Step 2: Convert to fraction form
    39,682/53,865 = 53,865/x
  3. Step 3: Cross multiply
    39,682x = 53,865 × 53,865
  4. Step 4: Simplify right side
    39,682x = 2,901,438,225
  5. Step 5: Solve for x
    x = 2,901,438,225/39,682
  6. Step 6: Final answer
    x = 73,117.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.