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Finding the Third Proportional to 1,272.59 and 2,750.20

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Solution

The third proportional to 1,272.59 and 2,750.20 is: 5,943.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.59 : 2,750.20 = 2,750.20 : x
  2. Step 2: Convert to fraction form
    1,272.59/2,750.20 = 2,750.20/x
  3. Step 3: Cross multiply
    1,272.59x = 2,750.20 × 2,750.20
  4. Step 4: Simplify right side
    1,272.59x = 7,563,617.23
  5. Step 5: Solve for x
    x = 7,563,617.23/1,272.59
  6. Step 6: Final answer
    x = 5,943.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.