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Finding the Third Proportional to 43,387 and 65,626

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Solution

The third proportional to 43,387 and 65,626 is: 99,264.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,387 : 65,626 = 65,626 : x
  2. Step 2: Convert to fraction form
    43,387/65,626 = 65,626/x
  3. Step 3: Cross multiply
    43,387x = 65,626 × 65,626
  4. Step 4: Simplify right side
    43,387x = 4,306,771,876
  5. Step 5: Solve for x
    x = 4,306,771,876/43,387
  6. Step 6: Final answer
    x = 99,264.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.