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Finding the Third Proportional to 803.50 and 1,231

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Solution

The third proportional to 803.50 and 1,231 is: 1,885.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.50 : 1,231 = 1,231 : x
  2. Step 2: Convert to fraction form
    803.50/1,231 = 1,231/x
  3. Step 3: Cross multiply
    803.50x = 1,231 × 1,231
  4. Step 4: Simplify right side
    803.50x = 1,515,361
  5. Step 5: Solve for x
    x = 1,515,361/803.50
  6. Step 6: Final answer
    x = 1,885.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.