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Finding the Third Proportional to 149,205,962 and 321,086,748

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Solution

The third proportional to 149,205,962 and 321,086,748 is: 690,969,036.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,205,962 : 321,086,748 = 321,086,748 : x
  2. Step 2: Convert to fraction form
    149,205,962/321,086,748 = 321,086,748/x
  3. Step 3: Cross multiply
    149,205,962x = 321,086,748 × 321,086,748
  4. Step 4: Simplify right side
    149,205,962x = 103,096,699,741,215,504
  5. Step 5: Solve for x
    x = 103,096,699,741,215,504/149,205,962
  6. Step 6: Final answer
    x = 690,969,036.08

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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.