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Finding the Third Proportional to 313,827 and 690,996

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Solution

The third proportional to 313,827 and 690,996 is: 1,521,460.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,827 : 690,996 = 690,996 : x
  2. Step 2: Convert to fraction form
    313,827/690,996 = 690,996/x
  3. Step 3: Cross multiply
    313,827x = 690,996 × 690,996
  4. Step 4: Simplify right side
    313,827x = 477,475,472,016
  5. Step 5: Solve for x
    x = 477,475,472,016/313,827
  6. Step 6: Final answer
    x = 1,521,460.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.