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Finding the Third Proportional to 83,847,162 and 133,329,129

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Solution

The third proportional to 83,847,162 and 133,329,129 is: 212,012,621.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,847,162 : 133,329,129 = 133,329,129 : x
  2. Step 2: Convert to fraction form
    83,847,162/133,329,129 = 133,329,129/x
  3. Step 3: Cross multiply
    83,847,162x = 133,329,129 × 133,329,129
  4. Step 4: Simplify right side
    83,847,162x = 17,776,656,639,898,640
  5. Step 5: Solve for x
    x = 17,776,656,639,898,640/83,847,162
  6. Step 6: Final answer
    x = 212,012,621.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.