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Finding the Third Proportional to 80,524,741.50 and 123,129,065.25

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Solution

The third proportional to 80,524,741.50 and 123,129,065.25 is: 188,274,639.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,524,741.50 : 123,129,065.25 = 123,129,065.25 : x
  2. Step 2: Convert to fraction form
    80,524,741.50/123,129,065.25 = 123,129,065.25/x
  3. Step 3: Cross multiply
    80,524,741.50x = 123,129,065.25 × 123,129,065.25
  4. Step 4: Simplify right side
    80,524,741.50x = 15,160,766,709,338,758
  5. Step 5: Solve for x
    x = 15,160,766,709,338,758/80,524,741.50
  6. Step 6: Final answer
    x = 188,274,639.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.