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Finding the Third Proportional to 1,140.96 and 1,373.84

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Solution

The third proportional to 1,140.96 and 1,373.84 is: 1,654.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.96 : 1,373.84 = 1,373.84 : x
  2. Step 2: Convert to fraction form
    1,140.96/1,373.84 = 1,373.84/x
  3. Step 3: Cross multiply
    1,140.96x = 1,373.84 × 1,373.84
  4. Step 4: Simplify right side
    1,140.96x = 1,887,425.18
  5. Step 5: Solve for x
    x = 1,887,425.18/1,140.96
  6. Step 6: Final answer
    x = 1,654.24

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.