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Finding the Third Proportional to 580.38 and 1,290.13

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Solution

The third proportional to 580.38 and 1,290.13 is: 2,867.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.38 : 1,290.13 = 1,290.13 : x
  2. Step 2: Convert to fraction form
    580.38/1,290.13 = 1,290.13/x
  3. Step 3: Cross multiply
    580.38x = 1,290.13 × 1,290.13
  4. Step 4: Simplify right side
    580.38x = 1,664,422.52
  5. Step 5: Solve for x
    x = 1,664,422.52/580.38
  6. Step 6: Final answer
    x = 2,867.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.