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Finding the Third Proportional to 147.77 and 223.45

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Solution

The third proportional to 147.77 and 223.45 is: 337.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.77 : 223.45 = 223.45 : x
  2. Step 2: Convert to fraction form
    147.77/223.45 = 223.45/x
  3. Step 3: Cross multiply
    147.77x = 223.45 × 223.45
  4. Step 4: Simplify right side
    147.77x = 49,930.81
  5. Step 5: Solve for x
    x = 49,930.81/147.77
  6. Step 6: Final answer
    x = 337.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.