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Finding the Third Proportional to 178.29 and 385.07

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Solution

The third proportional to 178.29 and 385.07 is: 831.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.29 : 385.07 = 385.07 : x
  2. Step 2: Convert to fraction form
    178.29/385.07 = 385.07/x
  3. Step 3: Cross multiply
    178.29x = 385.07 × 385.07
  4. Step 4: Simplify right side
    178.29x = 148,276.14
  5. Step 5: Solve for x
    x = 148,276.14/178.29
  6. Step 6: Final answer
    x = 831.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.