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Finding the Third Proportional to 51,861 and 113,439

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Solution

The third proportional to 51,861 and 113,439 is: 248,132.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,861 : 113,439 = 113,439 : x
  2. Step 2: Convert to fraction form
    51,861/113,439 = 113,439/x
  3. Step 3: Cross multiply
    51,861x = 113,439 × 113,439
  4. Step 4: Simplify right side
    51,861x = 12,868,406,721
  5. Step 5: Solve for x
    x = 12,868,406,721/51,861
  6. Step 6: Final answer
    x = 248,132.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.