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Finding the Third Proportional to 580.13 and 889.31

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Solution

The third proportional to 580.13 and 889.31 is: 1,363.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.13 : 889.31 = 889.31 : x
  2. Step 2: Convert to fraction form
    580.13/889.31 = 889.31/x
  3. Step 3: Cross multiply
    580.13x = 889.31 × 889.31
  4. Step 4: Simplify right side
    580.13x = 790,876.72
  5. Step 5: Solve for x
    x = 790,876.72/580.13
  6. Step 6: Final answer
    x = 1,363.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.