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Finding the Third Proportional to 4,420.69 and 9,661.22

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Solution

The third proportional to 4,420.69 and 9,661.22 is: 21,114.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,420.69 : 9,661.22 = 9,661.22 : x
  2. Step 2: Convert to fraction form
    4,420.69/9,661.22 = 9,661.22/x
  3. Step 3: Cross multiply
    4,420.69x = 9,661.22 × 9,661.22
  4. Step 4: Simplify right side
    4,420.69x = 93,339,147.74
  5. Step 5: Solve for x
    x = 93,339,147.74/4,420.69
  6. Step 6: Final answer
    x = 21,114.17

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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.