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Finding the Third Proportional to 83,384,950 and 129,269,895

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Solution

The third proportional to 83,384,950 and 129,269,895 is: 200,404,338.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,384,950 : 129,269,895 = 129,269,895 : x
  2. Step 2: Convert to fraction form
    83,384,950/129,269,895 = 129,269,895/x
  3. Step 3: Cross multiply
    83,384,950x = 129,269,895 × 129,269,895
  4. Step 4: Simplify right side
    83,384,950x = 16,710,705,753,311,024
  5. Step 5: Solve for x
    x = 16,710,705,753,311,024/83,384,950
  6. Step 6: Final answer
    x = 200,404,338.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.