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Finding the Third Proportional to 452.50 and 927.13

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Solution

The third proportional to 452.50 and 927.13 is: 1,899.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.50 : 927.13 = 927.13 : x
  2. Step 2: Convert to fraction form
    452.50/927.13 = 927.13/x
  3. Step 3: Cross multiply
    452.50x = 927.13 × 927.13
  4. Step 4: Simplify right side
    452.50x = 859,560.77
  5. Step 5: Solve for x
    x = 859,560.77/452.50
  6. Step 6: Final answer
    x = 1,899.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.