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Finding the Third Proportional to 218,400.75 and 447,387

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Solution

The third proportional to 218,400.75 and 447,387 is: 916,458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,400.75 : 447,387 = 447,387 : x
  2. Step 2: Convert to fraction form
    218,400.75/447,387 = 447,387/x
  3. Step 3: Cross multiply
    218,400.75x = 447,387 × 447,387
  4. Step 4: Simplify right side
    218,400.75x = 200,155,127,769
  5. Step 5: Solve for x
    x = 200,155,127,769/218,400.75
  6. Step 6: Final answer
    x = 916,458.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.