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Finding the Third Proportional to 129,141,018 and 196,103,049.75

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Solution

The third proportional to 129,141,018 and 196,103,049.75 is: 297,786,146.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,141,018 : 196,103,049.75 = 196,103,049.75 : x
  2. Step 2: Convert to fraction form
    129,141,018/196,103,049.75 = 196,103,049.75/x
  3. Step 3: Cross multiply
    129,141,018x = 196,103,049.75 × 196,103,049.75
  4. Step 4: Simplify right side
    129,141,018x = 38,456,406,121,250,976
  5. Step 5: Solve for x
    x = 38,456,406,121,250,976/129,141,018
  6. Step 6: Final answer
    x = 297,786,146.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.