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Finding the Third Proportional to 1,134.19 and 1,752.56

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Solution

The third proportional to 1,134.19 and 1,752.56 is: 2,708.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.19 : 1,752.56 = 1,752.56 : x
  2. Step 2: Convert to fraction form
    1,134.19/1,752.56 = 1,752.56/x
  3. Step 3: Cross multiply
    1,134.19x = 1,752.56 × 1,752.56
  4. Step 4: Simplify right side
    1,134.19x = 3,071,475.32
  5. Step 5: Solve for x
    x = 3,071,475.32/1,134.19
  6. Step 6: Final answer
    x = 2,708.08

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.