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Finding the Third Proportional to 99,739 and 218,554

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Solution

The third proportional to 99,739 and 218,554 is: 478,908.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,739 : 218,554 = 218,554 : x
  2. Step 2: Convert to fraction form
    99,739/218,554 = 218,554/x
  3. Step 3: Cross multiply
    99,739x = 218,554 × 218,554
  4. Step 4: Simplify right side
    99,739x = 47,765,850,916
  5. Step 5: Solve for x
    x = 47,765,850,916/99,739
  6. Step 6: Final answer
    x = 478,908.46

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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.