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Finding the Third Proportional to 251.15 and 538.37

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Solution

The third proportional to 251.15 and 538.37 is: 1,154.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.15 : 538.37 = 538.37 : x
  2. Step 2: Convert to fraction form
    251.15/538.37 = 538.37/x
  3. Step 3: Cross multiply
    251.15x = 538.37 × 538.37
  4. Step 4: Simplify right side
    251.15x = 289,837.13
  5. Step 5: Solve for x
    x = 289,837.13/251.15
  6. Step 6: Final answer
    x = 1,154.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.