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Finding the Third Proportional to 262.75 and 392.69

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Solution

The third proportional to 262.75 and 392.69 is: 586.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.75 : 392.69 = 392.69 : x
  2. Step 2: Convert to fraction form
    262.75/392.69 = 392.69/x
  3. Step 3: Cross multiply
    262.75x = 392.69 × 392.69
  4. Step 4: Simplify right side
    262.75x = 154,203.47
  5. Step 5: Solve for x
    x = 154,203.47/262.75
  6. Step 6: Final answer
    x = 586.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.