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Finding the Third Proportional to 313,542 and 676,644

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Solution

The third proportional to 313,542 and 676,644 is: 1,460,241.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,542 : 676,644 = 676,644 : x
  2. Step 2: Convert to fraction form
    313,542/676,644 = 676,644/x
  3. Step 3: Cross multiply
    313,542x = 676,644 × 676,644
  4. Step 4: Simplify right side
    313,542x = 457,847,102,736
  5. Step 5: Solve for x
    x = 457,847,102,736/313,542
  6. Step 6: Final answer
    x = 1,460,241.70

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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.