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Finding the Third Proportional to 377,049 and 813,138

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Solution

The third proportional to 377,049 and 813,138 is: 1,753,600.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,049 : 813,138 = 813,138 : x
  2. Step 2: Convert to fraction form
    377,049/813,138 = 813,138/x
  3. Step 3: Cross multiply
    377,049x = 813,138 × 813,138
  4. Step 4: Simplify right side
    377,049x = 661,193,407,044
  5. Step 5: Solve for x
    x = 661,193,407,044/377,049
  6. Step 6: Final answer
    x = 1,753,600.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.