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Finding the Third Proportional to 178.97 and 392.53

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Solution

The third proportional to 178.97 and 392.53 is: 860.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.97 : 392.53 = 392.53 : x
  2. Step 2: Convert to fraction form
    178.97/392.53 = 392.53/x
  3. Step 3: Cross multiply
    178.97x = 392.53 × 392.53
  4. Step 4: Simplify right side
    178.97x = 154,080.78
  5. Step 5: Solve for x
    x = 154,080.78/178.97
  6. Step 6: Final answer
    x = 860.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.