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Finding the Third Proportional to 22,200.19 and 46,452.38

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Solution

The third proportional to 22,200.19 and 46,452.38 is: 97,198.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,200.19 : 46,452.38 = 46,452.38 : x
  2. Step 2: Convert to fraction form
    22,200.19/46,452.38 = 46,452.38/x
  3. Step 3: Cross multiply
    22,200.19x = 46,452.38 × 46,452.38
  4. Step 4: Simplify right side
    22,200.19x = 2,157,823,143.14
  5. Step 5: Solve for x
    x = 2,157,823,143.14/22,200.19
  6. Step 6: Final answer
    x = 97,198.42

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.