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Finding the Third Proportional to 138,680,230 and 300,471,596

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Solution

The third proportional to 138,680,230 and 300,471,596 is: 651,016,947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,680,230 : 300,471,596 = 300,471,596 : x
  2. Step 2: Convert to fraction form
    138,680,230/300,471,596 = 300,471,596/x
  3. Step 3: Cross multiply
    138,680,230x = 300,471,596 × 300,471,596
  4. Step 4: Simplify right side
    138,680,230x = 90,283,180,002,787,216
  5. Step 5: Solve for x
    x = 90,283,180,002,787,216/138,680,230
  6. Step 6: Final answer
    x = 651,016,947.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.