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Finding the Third Proportional to 82,340,540 and 121,115,802

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Solution

The third proportional to 82,340,540 and 121,115,802 is: 178,150,853.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,340,540 : 121,115,802 = 121,115,802 : x
  2. Step 2: Convert to fraction form
    82,340,540/121,115,802 = 121,115,802/x
  3. Step 3: Cross multiply
    82,340,540x = 121,115,802 × 121,115,802
  4. Step 4: Simplify right side
    82,340,540x = 14,669,037,494,103,204
  5. Step 5: Solve for x
    x = 14,669,037,494,103,204/82,340,540
  6. Step 6: Final answer
    x = 178,150,853.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.