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Finding the Third Proportional to 251,820 and 393,048

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Solution

The third proportional to 251,820 and 393,048 is: 613,480.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,820 : 393,048 = 393,048 : x
  2. Step 2: Convert to fraction form
    251,820/393,048 = 393,048/x
  3. Step 3: Cross multiply
    251,820x = 393,048 × 393,048
  4. Step 4: Simplify right side
    251,820x = 154,486,730,304
  5. Step 5: Solve for x
    x = 154,486,730,304/251,820
  6. Step 6: Final answer
    x = 613,480.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.