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Finding the Third Proportional to 318,948 and 687,048

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Solution

The third proportional to 318,948 and 687,048 is: 1,479,974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,948 : 687,048 = 687,048 : x
  2. Step 2: Convert to fraction form
    318,948/687,048 = 687,048/x
  3. Step 3: Cross multiply
    318,948x = 687,048 × 687,048
  4. Step 4: Simplify right side
    318,948x = 472,034,954,304
  5. Step 5: Solve for x
    x = 472,034,954,304/318,948
  6. Step 6: Final answer
    x = 1,479,974.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.