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Finding the Third Proportional to 1,139.06 and 1,833.89

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Solution

The third proportional to 1,139.06 and 1,833.89 is: 2,952.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.06 : 1,833.89 = 1,833.89 : x
  2. Step 2: Convert to fraction form
    1,139.06/1,833.89 = 1,833.89/x
  3. Step 3: Cross multiply
    1,139.06x = 1,833.89 × 1,833.89
  4. Step 4: Simplify right side
    1,139.06x = 3,363,154.82
  5. Step 5: Solve for x
    x = 3,363,154.82/1,139.06
  6. Step 6: Final answer
    x = 2,952.56

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.