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Finding the Third Proportional to 100,418,480,128 and 218,488,039,452

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Solution

The third proportional to 100,418,480,128 and 218,488,039,452 is: 475,380,859,406.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,418,480,128 : 218,488,039,452 = 218,488,039,452 : x
  2. Step 2: Convert to fraction form
    100,418,480,128/218,488,039,452 = 218,488,039,452/x
  3. Step 3: Cross multiply
    100,418,480,128x = 218,488,039,452 × 218,488,039,452
  4. Step 4: Simplify right side
    100,418,480,128x = 47,737,023,383,578,712,473,600
  5. Step 5: Solve for x
    x = 47,737,023,383,578,712,473,600/100,418,480,128
  6. Step 6: Final answer
    x = 475,380,859,406.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.