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Finding the Third Proportional to 2,189.09 and 4,702.19

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Solution

The third proportional to 2,189.09 and 4,702.19 is: 10,100.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.09 : 4,702.19 = 4,702.19 : x
  2. Step 2: Convert to fraction form
    2,189.09/4,702.19 = 4,702.19/x
  3. Step 3: Cross multiply
    2,189.09x = 4,702.19 × 4,702.19
  4. Step 4: Simplify right side
    2,189.09x = 22,110,567.29
  5. Step 5: Solve for x
    x = 22,110,567.29/2,189.09
  6. Step 6: Final answer
    x = 10,100.33

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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.