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Finding the Third Proportional to 39,460 and 62,790

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Solution

The third proportional to 39,460 and 62,790 is: 99,913.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,460 : 62,790 = 62,790 : x
  2. Step 2: Convert to fraction form
    39,460/62,790 = 62,790/x
  3. Step 3: Cross multiply
    39,460x = 62,790 × 62,790
  4. Step 4: Simplify right side
    39,460x = 3,942,584,100
  5. Step 5: Solve for x
    x = 3,942,584,100/39,460
  6. Step 6: Final answer
    x = 99,913.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.