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Finding the Third Proportional to 739.25 and 1,134.50

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Solution

The third proportional to 739.25 and 1,134.50 is: 1,741.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.25 : 1,134.50 = 1,134.50 : x
  2. Step 2: Convert to fraction form
    739.25/1,134.50 = 1,134.50/x
  3. Step 3: Cross multiply
    739.25x = 1,134.50 × 1,134.50
  4. Step 4: Simplify right side
    739.25x = 1,287,090.25
  5. Step 5: Solve for x
    x = 1,287,090.25/739.25
  6. Step 6: Final answer
    x = 1,741.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.