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Finding the Third Proportional to 314,781 and 674,439

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Solution

The third proportional to 314,781 and 674,439 is: 1,445,029.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,781 : 674,439 = 674,439 : x
  2. Step 2: Convert to fraction form
    314,781/674,439 = 674,439/x
  3. Step 3: Cross multiply
    314,781x = 674,439 × 674,439
  4. Step 4: Simplify right side
    314,781x = 454,867,964,721
  5. Step 5: Solve for x
    x = 454,867,964,721/314,781
  6. Step 6: Final answer
    x = 1,445,029.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.