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Finding the Third Proportional to 925.31 and 1,980.90

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Solution

The third proportional to 925.31 and 1,980.90 is: 4,240.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.31 : 1,980.90 = 1,980.90 : x
  2. Step 2: Convert to fraction form
    925.31/1,980.90 = 1,980.90/x
  3. Step 3: Cross multiply
    925.31x = 1,980.90 × 1,980.90
  4. Step 4: Simplify right side
    925.31x = 3,923,968.29
  5. Step 5: Solve for x
    x = 3,923,968.29/925.31
  6. Step 6: Final answer
    x = 4,240.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.