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Finding the Third Proportional to 318,624 and 678,720

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Solution

The third proportional to 318,624 and 678,720 is: 1,445,781.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,624 : 678,720 = 678,720 : x
  2. Step 2: Convert to fraction form
    318,624/678,720 = 678,720/x
  3. Step 3: Cross multiply
    318,624x = 678,720 × 678,720
  4. Step 4: Simplify right side
    318,624x = 460,660,838,400
  5. Step 5: Solve for x
    x = 460,660,838,400/318,624
  6. Step 6: Final answer
    x = 1,445,781.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.