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Finding the Third Proportional to 99,873,966 and 218,840,442

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Solution

The third proportional to 99,873,966 and 218,840,442 is: 479,515,743.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,873,966 : 218,840,442 = 218,840,442 : x
  2. Step 2: Convert to fraction form
    99,873,966/218,840,442 = 218,840,442/x
  3. Step 3: Cross multiply
    99,873,966x = 218,840,442 × 218,840,442
  4. Step 4: Simplify right side
    99,873,966x = 47,891,139,054,755,360
  5. Step 5: Solve for x
    x = 47,891,139,054,755,360/99,873,966
  6. Step 6: Final answer
    x = 479,515,743.42

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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.