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Finding the Third Proportional to 1,299.80 and 2,788.17

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Solution

The third proportional to 1,299.80 and 2,788.17 is: 5,980.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.80 : 2,788.17 = 2,788.17 : x
  2. Step 2: Convert to fraction form
    1,299.80/2,788.17 = 2,788.17/x
  3. Step 3: Cross multiply
    1,299.80x = 2,788.17 × 2,788.17
  4. Step 4: Simplify right side
    1,299.80x = 7,773,902.40
  5. Step 5: Solve for x
    x = 7,773,902.40/1,299.80
  6. Step 6: Final answer
    x = 5,980.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.