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Finding the Third Proportional to 491.31 and 1,069.38

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Solution

The third proportional to 491.31 and 1,069.38 is: 2,327.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.31 : 1,069.38 = 1,069.38 : x
  2. Step 2: Convert to fraction form
    491.31/1,069.38 = 1,069.38/x
  3. Step 3: Cross multiply
    491.31x = 1,069.38 × 1,069.38
  4. Step 4: Simplify right side
    491.31x = 1,143,562.89
  5. Step 5: Solve for x
    x = 1,143,562.89/491.31
  6. Step 6: Final answer
    x = 2,327.57

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.