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Finding the Third Proportional to 1,978.49 and 3,132.90

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Solution

The third proportional to 1,978.49 and 3,132.90 is: 4,960.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.49 : 3,132.90 = 3,132.90 : x
  2. Step 2: Convert to fraction form
    1,978.49/3,132.90 = 3,132.90/x
  3. Step 3: Cross multiply
    1,978.49x = 3,132.90 × 3,132.90
  4. Step 4: Simplify right side
    1,978.49x = 9,815,040.38
  5. Step 5: Solve for x
    x = 9,815,040.38/1,978.49
  6. Step 6: Final answer
    x = 4,960.88

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.