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Finding the Third Proportional to 248.81 and 538.69

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Solution

The third proportional to 248.81 and 538.69 is: 1,166.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.81 : 538.69 = 538.69 : x
  2. Step 2: Convert to fraction form
    248.81/538.69 = 538.69/x
  3. Step 3: Cross multiply
    248.81x = 538.69 × 538.69
  4. Step 4: Simplify right side
    248.81x = 290,184.22
  5. Step 5: Solve for x
    x = 290,184.22/248.81
  6. Step 6: Final answer
    x = 1,166.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.