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Finding the Third Proportional to 126,785,493 and 191,175,987.38

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Solution

The third proportional to 126,785,493 and 191,175,987.38 is: 288,268,454.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,785,493 : 191,175,987.38 = 191,175,987.38 : x
  2. Step 2: Convert to fraction form
    126,785,493/191,175,987.38 = 191,175,987.38/x
  3. Step 3: Cross multiply
    126,785,493x = 191,175,987.38 × 191,175,987.38
  4. Step 4: Simplify right side
    126,785,493x = 36,548,258,148,806,160
  5. Step 5: Solve for x
    x = 36,548,258,148,806,160/126,785,493
  6. Step 6: Final answer
    x = 288,268,454.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.