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Finding the Third Proportional to 1,251.19 and 1,962.70

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Solution

The third proportional to 1,251.19 and 1,962.70 is: 3,078.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.19 : 1,962.70 = 1,962.70 : x
  2. Step 2: Convert to fraction form
    1,251.19/1,962.70 = 1,962.70/x
  3. Step 3: Cross multiply
    1,251.19x = 1,962.70 × 1,962.70
  4. Step 4: Simplify right side
    1,251.19x = 3,852,203.56
  5. Step 5: Solve for x
    x = 3,852,203.56/1,251.19
  6. Step 6: Final answer
    x = 3,078.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.