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Finding the Third Proportional to 1,131.47 and 1,757.95

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Solution

The third proportional to 1,131.47 and 1,757.95 is: 2,731.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.47 : 1,757.95 = 1,757.95 : x
  2. Step 2: Convert to fraction form
    1,131.47/1,757.95 = 1,757.95/x
  3. Step 3: Cross multiply
    1,131.47x = 1,757.95 × 1,757.95
  4. Step 4: Simplify right side
    1,131.47x = 3,090,399.19
  5. Step 5: Solve for x
    x = 3,090,399.19/1,131.47
  6. Step 6: Final answer
    x = 2,731.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.