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Finding the Third Proportional to 1,374.19 and 2,679.61

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Solution

The third proportional to 1,374.19 and 2,679.61 is: 5,225.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.19 : 2,679.61 = 2,679.61 : x
  2. Step 2: Convert to fraction form
    1,374.19/2,679.61 = 2,679.61/x
  3. Step 3: Cross multiply
    1,374.19x = 2,679.61 × 2,679.61
  4. Step 4: Simplify right side
    1,374.19x = 7,180,306.40
  5. Step 5: Solve for x
    x = 7,180,306.40/1,374.19
  6. Step 6: Final answer
    x = 5,225.13

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.