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Finding the Third Proportional to 149,205,928 and 321,086,680

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Solution

The third proportional to 149,205,928 and 321,086,680 is: 690,968,900.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,205,928 : 321,086,680 = 321,086,680 : x
  2. Step 2: Convert to fraction form
    149,205,928/321,086,680 = 321,086,680/x
  3. Step 3: Cross multiply
    149,205,928x = 321,086,680 × 321,086,680
  4. Step 4: Simplify right side
    149,205,928x = 103,096,656,073,422,400
  5. Step 5: Solve for x
    x = 103,096,656,073,422,400/149,205,928
  6. Step 6: Final answer
    x = 690,968,900.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.