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Finding the Third Proportional to 231.61 and 541.05

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Solution

The third proportional to 231.61 and 541.05 is: 1,263.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.61 : 541.05 = 541.05 : x
  2. Step 2: Convert to fraction form
    231.61/541.05 = 541.05/x
  3. Step 3: Cross multiply
    231.61x = 541.05 × 541.05
  4. Step 4: Simplify right side
    231.61x = 292,740.17
  5. Step 5: Solve for x
    x = 292,740.17/231.61
  6. Step 6: Final answer
    x = 1,263.94

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.