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Finding the Third Proportional to 231 and 502.78

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Solution

The third proportional to 231 and 502.78 is: 1,094.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    231 : 502.78 = 502.78 : x
  2. Step 2: Convert to fraction form
    231/502.78 = 502.78/x
  3. Step 3: Cross multiply
    231x = 502.78 × 502.78
  4. Step 4: Simplify right side
    231x = 252,788.99
  5. Step 5: Solve for x
    x = 252,788.99/231
  6. Step 6: Final answer
    x = 1,094.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.