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Finding the Third Proportional to 247.65 and 383.27

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Solution

The third proportional to 247.65 and 383.27 is: 593.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.65 : 383.27 = 383.27 : x
  2. Step 2: Convert to fraction form
    247.65/383.27 = 383.27/x
  3. Step 3: Cross multiply
    247.65x = 383.27 × 383.27
  4. Step 4: Simplify right side
    247.65x = 146,898.53
  5. Step 5: Solve for x
    x = 146,898.53/247.65
  6. Step 6: Final answer
    x = 593.16

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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.