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Finding the Third Proportional to 1,006.80 and 2,205.35

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Solution

The third proportional to 1,006.80 and 2,205.35 is: 4,830.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.80 : 2,205.35 = 2,205.35 : x
  2. Step 2: Convert to fraction form
    1,006.80/2,205.35 = 2,205.35/x
  3. Step 3: Cross multiply
    1,006.80x = 2,205.35 × 2,205.35
  4. Step 4: Simplify right side
    1,006.80x = 4,863,575.51
  5. Step 5: Solve for x
    x = 4,863,575.51/1,006.80
  6. Step 6: Final answer
    x = 4,830.70

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Why These Related Problems?

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