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Finding the Third Proportional to 1,189.85 and 2,599.91

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Solution

The third proportional to 1,189.85 and 2,599.91 is: 5,681.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.85 : 2,599.91 = 2,599.91 : x
  2. Step 2: Convert to fraction form
    1,189.85/2,599.91 = 2,599.91/x
  3. Step 3: Cross multiply
    1,189.85x = 2,599.91 × 2,599.91
  4. Step 4: Simplify right side
    1,189.85x = 6,759,532.82
  5. Step 5: Solve for x
    x = 6,759,532.82/1,189.85
  6. Step 6: Final answer
    x = 5,681.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.