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Finding the Third Proportional to 100,642,830 and 220,128,864

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Solution

The third proportional to 100,642,830 and 220,128,864 is: 481,472,120.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,642,830 : 220,128,864 = 220,128,864 : x
  2. Step 2: Convert to fraction form
    100,642,830/220,128,864 = 220,128,864/x
  3. Step 3: Cross multiply
    100,642,830x = 220,128,864 × 220,128,864
  4. Step 4: Simplify right side
    100,642,830x = 48,456,716,765,930,496
  5. Step 5: Solve for x
    x = 48,456,716,765,930,496/100,642,830
  6. Step 6: Final answer
    x = 481,472,120.43

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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.