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Finding the Third Proportional to 505.92 and 727.22

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Solution

The third proportional to 505.92 and 727.22 is: 1,045.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.92 : 727.22 = 727.22 : x
  2. Step 2: Convert to fraction form
    505.92/727.22 = 727.22/x
  3. Step 3: Cross multiply
    505.92x = 727.22 × 727.22
  4. Step 4: Simplify right side
    505.92x = 528,847.11
  5. Step 5: Solve for x
    x = 528,847.11/505.92
  6. Step 6: Final answer
    x = 1,045.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.