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Finding the Third Proportional to 175,680 and 378,048

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Solution

The third proportional to 175,680 and 378,048 is: 813,526.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,680 : 378,048 = 378,048 : x
  2. Step 2: Convert to fraction form
    175,680/378,048 = 378,048/x
  3. Step 3: Cross multiply
    175,680x = 378,048 × 378,048
  4. Step 4: Simplify right side
    175,680x = 142,920,290,304
  5. Step 5: Solve for x
    x = 142,920,290,304/175,680
  6. Step 6: Final answer
    x = 813,526.24

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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.