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Finding the Third Proportional to 5,285.25 and 12,289.22

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Solution

The third proportional to 5,285.25 and 12,289.22 is: 28,574.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.25 : 12,289.22 = 12,289.22 : x
  2. Step 2: Convert to fraction form
    5,285.25/12,289.22 = 12,289.22/x
  3. Step 3: Cross multiply
    5,285.25x = 12,289.22 × 12,289.22
  4. Step 4: Simplify right side
    5,285.25x = 151,024,897.49
  5. Step 5: Solve for x
    x = 151,024,897.49/5,285.25
  6. Step 6: Final answer
    x = 28,574.79

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.