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Finding the Third Proportional to 1,538.68 and 2,305.65

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Solution

The third proportional to 1,538.68 and 2,305.65 is: 3,454.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.68 : 2,305.65 = 2,305.65 : x
  2. Step 2: Convert to fraction form
    1,538.68/2,305.65 = 2,305.65/x
  3. Step 3: Cross multiply
    1,538.68x = 2,305.65 × 2,305.65
  4. Step 4: Simplify right side
    1,538.68x = 5,316,032.73
  5. Step 5: Solve for x
    x = 5,316,032.73/1,538.68
  6. Step 6: Final answer
    x = 3,454.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.