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Finding the Third Proportional to 198,972,891 and 428,178,870

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Solution

The third proportional to 198,972,891 and 428,178,870 is: 921,417,705.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,972,891 : 428,178,870 = 428,178,870 : x
  2. Step 2: Convert to fraction form
    198,972,891/428,178,870 = 428,178,870/x
  3. Step 3: Cross multiply
    198,972,891x = 428,178,870 × 428,178,870
  4. Step 4: Simplify right side
    198,972,891x = 183,337,144,714,476,896
  5. Step 5: Solve for x
    x = 183,337,144,714,476,896/198,972,891
  6. Step 6: Final answer
    x = 921,417,705.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.