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Finding the Third Proportional to 64,825,117,404 and 140,471,516,856

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Solution

The third proportional to 64,825,117,404 and 140,471,516,856 is: 304,391,998,626.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,825,117,404 : 140,471,516,856 = 140,471,516,856 : x
  2. Step 2: Convert to fraction form
    64,825,117,404/140,471,516,856 = 140,471,516,856/x
  3. Step 3: Cross multiply
    64,825,117,404x = 140,471,516,856 × 140,471,516,856
  4. Step 4: Simplify right side
    64,825,117,404x = 19,732,247,047,825,491,230,720
  5. Step 5: Solve for x
    x = 19,732,247,047,825,491,230,720/64,825,117,404
  6. Step 6: Final answer
    x = 304,391,998,626.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.