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Finding the Third Proportional to 1,036.75 and 1,140.25

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Solution

The third proportional to 1,036.75 and 1,140.25 is: 1,254.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.75 : 1,140.25 = 1,140.25 : x
  2. Step 2: Convert to fraction form
    1,036.75/1,140.25 = 1,140.25/x
  3. Step 3: Cross multiply
    1,036.75x = 1,140.25 × 1,140.25
  4. Step 4: Simplify right side
    1,036.75x = 1,300,170.06
  5. Step 5: Solve for x
    x = 1,300,170.06/1,036.75
  6. Step 6: Final answer
    x = 1,254.08

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.