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Finding the Third Proportional to 754.10 and 1,135.90

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Solution

The third proportional to 754.10 and 1,135.90 is: 1,711.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.10 : 1,135.90 = 1,135.90 : x
  2. Step 2: Convert to fraction form
    754.10/1,135.90 = 1,135.90/x
  3. Step 3: Cross multiply
    754.10x = 1,135.90 × 1,135.90
  4. Step 4: Simplify right side
    754.10x = 1,290,265.26
  5. Step 5: Solve for x
    x = 1,290,265.26/754.10
  6. Step 6: Final answer
    x = 1,711.00

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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.