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Finding the Third Proportional to 315,736 and 676,400

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Solution

The third proportional to 315,736 and 676,400 is: 1,449,049.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,736 : 676,400 = 676,400 : x
  2. Step 2: Convert to fraction form
    315,736/676,400 = 676,400/x
  3. Step 3: Cross multiply
    315,736x = 676,400 × 676,400
  4. Step 4: Simplify right side
    315,736x = 457,516,960,000
  5. Step 5: Solve for x
    x = 457,516,960,000/315,736
  6. Step 6: Final answer
    x = 1,449,049.08

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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.