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Finding the Third Proportional to 1,319.44 and 1,776.28

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Solution

The third proportional to 1,319.44 and 1,776.28 is: 2,391.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.44 : 1,776.28 = 1,776.28 : x
  2. Step 2: Convert to fraction form
    1,319.44/1,776.28 = 1,776.28/x
  3. Step 3: Cross multiply
    1,319.44x = 1,776.28 × 1,776.28
  4. Step 4: Simplify right side
    1,319.44x = 3,155,175.08
  5. Step 5: Solve for x
    x = 3,155,175.08/1,319.44
  6. Step 6: Final answer
    x = 2,391.30

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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.