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Finding the Third Proportional to 492.33 and 1,061.86

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Solution

The third proportional to 492.33 and 1,061.86 is: 2,290.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.33 : 1,061.86 = 1,061.86 : x
  2. Step 2: Convert to fraction form
    492.33/1,061.86 = 1,061.86/x
  3. Step 3: Cross multiply
    492.33x = 1,061.86 × 1,061.86
  4. Step 4: Simplify right side
    492.33x = 1,127,545.33
  5. Step 5: Solve for x
    x = 1,127,545.33/492.33
  6. Step 6: Final answer
    x = 2,290.23

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