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Finding the Third Proportional to 4,810.22 and 10,338.47

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Solution

The third proportional to 4,810.22 and 10,338.47 is: 22,220.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,810.22 : 10,338.47 = 10,338.47 : x
  2. Step 2: Convert to fraction form
    4,810.22/10,338.47 = 10,338.47/x
  3. Step 3: Cross multiply
    4,810.22x = 10,338.47 × 10,338.47
  4. Step 4: Simplify right side
    4,810.22x = 106,883,936.09
  5. Step 5: Solve for x
    x = 106,883,936.09/4,810.22
  6. Step 6: Final answer
    x = 22,220.18

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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.