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Finding the Third Proportional to 580.92 and 872.02

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Solution

The third proportional to 580.92 and 872.02 is: 1,308.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.92 : 872.02 = 872.02 : x
  2. Step 2: Convert to fraction form
    580.92/872.02 = 872.02/x
  3. Step 3: Cross multiply
    580.92x = 872.02 × 872.02
  4. Step 4: Simplify right side
    580.92x = 760,411.25
  5. Step 5: Solve for x
    x = 760,411.25/580.92
  6. Step 6: Final answer
    x = 1,308.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.