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Finding the Third Proportional to 249.88 and 538.21

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Solution

The third proportional to 249.88 and 538.21 is: 1,159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.88 : 538.21 = 538.21 : x
  2. Step 2: Convert to fraction form
    249.88/538.21 = 538.21/x
  3. Step 3: Cross multiply
    249.88x = 538.21 × 538.21
  4. Step 4: Simplify right side
    249.88x = 289,666.81
  5. Step 5: Solve for x
    x = 289,666.81/249.88
  6. Step 6: Final answer
    x = 1,159.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.