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Finding the Third Proportional to 938.38 and 1,966.50

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Solution

The third proportional to 938.38 and 1,966.50 is: 4,121.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.38 : 1,966.50 = 1,966.50 : x
  2. Step 2: Convert to fraction form
    938.38/1,966.50 = 1,966.50/x
  3. Step 3: Cross multiply
    938.38x = 1,966.50 × 1,966.50
  4. Step 4: Simplify right side
    938.38x = 3,867,122.25
  5. Step 5: Solve for x
    x = 3,867,122.25/938.38
  6. Step 6: Final answer
    x = 4,121.08

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.