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Finding the Third Proportional to 492.96 and 1,062.77

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Solution

The third proportional to 492.96 and 1,062.77 is: 2,291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.96 : 1,062.77 = 1,062.77 : x
  2. Step 2: Convert to fraction form
    492.96/1,062.77 = 1,062.77/x
  3. Step 3: Cross multiply
    492.96x = 1,062.77 × 1,062.77
  4. Step 4: Simplify right side
    492.96x = 1,129,487.38
  5. Step 5: Solve for x
    x = 1,129,487.38/492.96
  6. Step 6: Final answer
    x = 2,291.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.