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Finding the Third Proportional to 1,280.32 and 1,729.80

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Solution

The third proportional to 1,280.32 and 1,729.80 is: 2,337.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.32 : 1,729.80 = 1,729.80 : x
  2. Step 2: Convert to fraction form
    1,280.32/1,729.80 = 1,729.80/x
  3. Step 3: Cross multiply
    1,280.32x = 1,729.80 × 1,729.80
  4. Step 4: Simplify right side
    1,280.32x = 2,992,224.26
  5. Step 5: Solve for x
    x = 2,992,224.26/1,280.32
  6. Step 6: Final answer
    x = 2,337.09

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.