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Finding the Third Proportional to 756.05 and 1,168.25

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Solution

The third proportional to 756.05 and 1,168.25 is: 1,805.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.05 : 1,168.25 = 1,168.25 : x
  2. Step 2: Convert to fraction form
    756.05/1,168.25 = 1,168.25/x
  3. Step 3: Cross multiply
    756.05x = 1,168.25 × 1,168.25
  4. Step 4: Simplify right side
    756.05x = 1,364,810.34
  5. Step 5: Solve for x
    x = 1,364,810.34/756.05
  6. Step 6: Final answer
    x = 1,805.18

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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.