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Finding the Third Proportional to 315,742 and 676,520

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Solution

The third proportional to 315,742 and 676,520 is: 1,449,535.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,742 : 676,520 = 676,520 : x
  2. Step 2: Convert to fraction form
    315,742/676,520 = 676,520/x
  3. Step 3: Cross multiply
    315,742x = 676,520 × 676,520
  4. Step 4: Simplify right side
    315,742x = 457,679,310,400
  5. Step 5: Solve for x
    x = 457,679,310,400/315,742
  6. Step 6: Final answer
    x = 1,449,535.73

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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.