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Finding the Third Proportional to 4,491.84 and 9,900.84

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Solution

The third proportional to 4,491.84 and 9,900.84 is: 21,823.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.84 : 9,900.84 = 9,900.84 : x
  2. Step 2: Convert to fraction form
    4,491.84/9,900.84 = 9,900.84/x
  3. Step 3: Cross multiply
    4,491.84x = 9,900.84 × 9,900.84
  4. Step 4: Simplify right side
    4,491.84x = 98,026,706.96
  5. Step 5: Solve for x
    x = 98,026,706.96/4,491.84
  6. Step 6: Final answer
    x = 21,823.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.