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Finding the Third Proportional to 178.66 and 387.70

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Solution

The third proportional to 178.66 and 387.70 is: 841.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.66 : 387.70 = 387.70 : x
  2. Step 2: Convert to fraction form
    178.66/387.70 = 387.70/x
  3. Step 3: Cross multiply
    178.66x = 387.70 × 387.70
  4. Step 4: Simplify right side
    178.66x = 150,313.71
  5. Step 5: Solve for x
    x = 150,313.71/178.66
  6. Step 6: Final answer
    x = 841.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.