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Finding the Third Proportional to 750.09 and 1,142.30

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Solution

The third proportional to 750.09 and 1,142.30 is: 1,739.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.09 : 1,142.30 = 1,142.30 : x
  2. Step 2: Convert to fraction form
    750.09/1,142.30 = 1,142.30/x
  3. Step 3: Cross multiply
    750.09x = 1,142.30 × 1,142.30
  4. Step 4: Simplify right side
    750.09x = 1,304,842.15
  5. Step 5: Solve for x
    x = 1,304,842.15/750.09
  6. Step 6: Final answer
    x = 1,739.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.