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Finding the Third Proportional to 882.38 and 1,882.50

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Solution

The third proportional to 882.38 and 1,882.50 is: 4,016.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.38 : 1,882.50 = 1,882.50 : x
  2. Step 2: Convert to fraction form
    882.38/1,882.50 = 1,882.50/x
  3. Step 3: Cross multiply
    882.38x = 1,882.50 × 1,882.50
  4. Step 4: Simplify right side
    882.38x = 3,543,806.25
  5. Step 5: Solve for x
    x = 3,543,806.25/882.38
  6. Step 6: Final answer
    x = 4,016.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.