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Finding the Third Proportional to 1,125.98 and 1,480.15

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Solution

The third proportional to 1,125.98 and 1,480.15 is: 1,945.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.98 : 1,480.15 = 1,480.15 : x
  2. Step 2: Convert to fraction form
    1,125.98/1,480.15 = 1,480.15/x
  3. Step 3: Cross multiply
    1,125.98x = 1,480.15 × 1,480.15
  4. Step 4: Simplify right side
    1,125.98x = 2,190,839.40
  5. Step 5: Solve for x
    x = 2,190,839.40/1,125.98
  6. Step 6: Final answer
    x = 1,945.71

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.