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Finding the Third Proportional to 755.22 and 1,143.28

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Solution

The third proportional to 755.22 and 1,143.28 is: 1,730.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.22 : 1,143.28 = 1,143.28 : x
  2. Step 2: Convert to fraction form
    755.22/1,143.28 = 1,143.28/x
  3. Step 3: Cross multiply
    755.22x = 1,143.28 × 1,143.28
  4. Step 4: Simplify right side
    755.22x = 1,307,092.02
  5. Step 5: Solve for x
    x = 1,307,092.02/755.22
  6. Step 6: Final answer
    x = 1,730.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.