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Finding the Third Proportional to 580.92 and 1,270.77

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Solution

The third proportional to 580.92 and 1,270.77 is: 2,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.92 : 1,270.77 = 1,270.77 : x
  2. Step 2: Convert to fraction form
    580.92/1,270.77 = 1,270.77/x
  3. Step 3: Cross multiply
    580.92x = 1,270.77 × 1,270.77
  4. Step 4: Simplify right side
    580.92x = 1,614,847.76
  5. Step 5: Solve for x
    x = 1,614,847.76/580.92
  6. Step 6: Final answer
    x = 2,779.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.