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Finding the Third Proportional to 251.72 and 430.73

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Solution

The third proportional to 251.72 and 430.73 is: 737.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.72 : 430.73 = 430.73 : x
  2. Step 2: Convert to fraction form
    251.72/430.73 = 430.73/x
  3. Step 3: Cross multiply
    251.72x = 430.73 × 430.73
  4. Step 4: Simplify right side
    251.72x = 185,532.10
  5. Step 5: Solve for x
    x = 185,532.10/251.72
  6. Step 6: Final answer
    x = 737.06

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.