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Finding the Third Proportional to 1,215.84 and 2,006.65

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Solution

The third proportional to 1,215.84 and 2,006.65 is: 3,311.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.84 : 2,006.65 = 2,006.65 : x
  2. Step 2: Convert to fraction form
    1,215.84/2,006.65 = 2,006.65/x
  3. Step 3: Cross multiply
    1,215.84x = 2,006.65 × 2,006.65
  4. Step 4: Simplify right side
    1,215.84x = 4,026,637.95
  5. Step 5: Solve for x
    x = 4,026,637.95/1,215.84
  6. Step 6: Final answer
    x = 3,311.81

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.