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Finding the Third Proportional to 178.94 and 277.47

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Solution

The third proportional to 178.94 and 277.47 is: 430.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.94 : 277.47 = 277.47 : x
  2. Step 2: Convert to fraction form
    178.94/277.47 = 277.47/x
  3. Step 3: Cross multiply
    178.94x = 277.47 × 277.47
  4. Step 4: Simplify right side
    178.94x = 76,988.91
  5. Step 5: Solve for x
    x = 76,988.91/178.94
  6. Step 6: Final answer
    x = 430.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.