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Finding the Third Proportional to 1,275.75 and 1,971.21

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Solution

The third proportional to 1,275.75 and 1,971.21 is: 3,045.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.75 : 1,971.21 = 1,971.21 : x
  2. Step 2: Convert to fraction form
    1,275.75/1,971.21 = 1,971.21/x
  3. Step 3: Cross multiply
    1,275.75x = 1,971.21 × 1,971.21
  4. Step 4: Simplify right side
    1,275.75x = 3,885,672.56
  5. Step 5: Solve for x
    x = 3,885,672.56/1,275.75
  6. Step 6: Final answer
    x = 3,045.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.