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Finding the Third Proportional to 1,155.66 and 1,779.19

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Solution

The third proportional to 1,155.66 and 1,779.19 is: 2,739.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.66 : 1,779.19 = 1,779.19 : x
  2. Step 2: Convert to fraction form
    1,155.66/1,779.19 = 1,779.19/x
  3. Step 3: Cross multiply
    1,155.66x = 1,779.19 × 1,779.19
  4. Step 4: Simplify right side
    1,155.66x = 3,165,508.16
  5. Step 5: Solve for x
    x = 3,165,508.16/1,155.66
  6. Step 6: Final answer
    x = 2,739.14

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.