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Finding the Third Proportional to 248.19 and 392.81

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Solution

The third proportional to 248.19 and 392.81 is: 621.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.19 : 392.81 = 392.81 : x
  2. Step 2: Convert to fraction form
    248.19/392.81 = 392.81/x
  3. Step 3: Cross multiply
    248.19x = 392.81 × 392.81
  4. Step 4: Simplify right side
    248.19x = 154,301.66
  5. Step 5: Solve for x
    x = 154,301.66/248.19
  6. Step 6: Final answer
    x = 621.71

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.