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Finding the Third Proportional to 80,524,719 and 123,129,031.50

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Solution

The third proportional to 80,524,719 and 123,129,031.50 is: 188,274,589.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,524,719 : 123,129,031.50 = 123,129,031.50 : x
  2. Step 2: Convert to fraction form
    80,524,719/123,129,031.50 = 123,129,031.50/x
  3. Step 3: Cross multiply
    80,524,719x = 123,129,031.50 × 123,129,031.50
  4. Step 4: Simplify right side
    80,524,719x = 15,160,758,398,127,992
  5. Step 5: Solve for x
    x = 15,160,758,398,127,992/80,524,719
  6. Step 6: Final answer
    x = 188,274,589.30

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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.