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Finding the Third Proportional to 1,152.83 and 1,751.07

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Solution

The third proportional to 1,152.83 and 1,751.07 is: 2,659.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.83 : 1,751.07 = 1,751.07 : x
  2. Step 2: Convert to fraction form
    1,152.83/1,751.07 = 1,751.07/x
  3. Step 3: Cross multiply
    1,152.83x = 1,751.07 × 1,751.07
  4. Step 4: Simplify right side
    1,152.83x = 3,066,250.66
  5. Step 5: Solve for x
    x = 3,066,250.66/1,152.83
  6. Step 6: Final answer
    x = 2,659.77

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.