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Finding the Third Proportional to 7,220.25 and 15,819.19

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Solution

The third proportional to 7,220.25 and 15,819.19 is: 34,659.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220.25 : 15,819.19 = 15,819.19 : x
  2. Step 2: Convert to fraction form
    7,220.25/15,819.19 = 15,819.19/x
  3. Step 3: Cross multiply
    7,220.25x = 15,819.19 × 15,819.19
  4. Step 4: Simplify right side
    7,220.25x = 250,246,693.16
  5. Step 5: Solve for x
    x = 250,246,693.16/7,220.25
  6. Step 6: Final answer
    x = 34,659.01

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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.