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Finding the Third Proportional to 81,128,650 and 191,322,190

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Solution

The third proportional to 81,128,650 and 191,322,190 is: 451,186,854.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,128,650 : 191,322,190 = 191,322,190 : x
  2. Step 2: Convert to fraction form
    81,128,650/191,322,190 = 191,322,190/x
  3. Step 3: Cross multiply
    81,128,650x = 191,322,190 × 191,322,190
  4. Step 4: Simplify right side
    81,128,650x = 36,604,180,386,396,096
  5. Step 5: Solve for x
    x = 36,604,180,386,396,096/81,128,650
  6. Step 6: Final answer
    x = 451,186,854.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.