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Finding the Third Proportional to 381,278 and 752,989

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Solution

The third proportional to 381,278 and 752,989 is: 1,487,084.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,278 : 752,989 = 752,989 : x
  2. Step 2: Convert to fraction form
    381,278/752,989 = 752,989/x
  3. Step 3: Cross multiply
    381,278x = 752,989 × 752,989
  4. Step 4: Simplify right side
    381,278x = 566,992,434,121
  5. Step 5: Solve for x
    x = 566,992,434,121/381,278
  6. Step 6: Final answer
    x = 1,487,084.05

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.