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Finding the Third Proportional to 82,270,856 and 120,377,814

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Solution

The third proportional to 82,270,856 and 120,377,814 is: 176,135,496.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,270,856 : 120,377,814 = 120,377,814 : x
  2. Step 2: Convert to fraction form
    82,270,856/120,377,814 = 120,377,814/x
  3. Step 3: Cross multiply
    82,270,856x = 120,377,814 × 120,377,814
  4. Step 4: Simplify right side
    82,270,856x = 14,490,818,103,418,596
  5. Step 5: Solve for x
    x = 14,490,818,103,418,596/82,270,856
  6. Step 6: Final answer
    x = 176,135,496.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.