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Finding the Third Proportional to 1,109.53 and 1,577.11

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Solution

The third proportional to 1,109.53 and 1,577.11 is: 2,241.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.53 : 1,577.11 = 1,577.11 : x
  2. Step 2: Convert to fraction form
    1,109.53/1,577.11 = 1,577.11/x
  3. Step 3: Cross multiply
    1,109.53x = 1,577.11 × 1,577.11
  4. Step 4: Simplify right side
    1,109.53x = 2,487,273.98
  5. Step 5: Solve for x
    x = 2,487,273.98/1,109.53
  6. Step 6: Final answer
    x = 2,241.73

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.