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Finding the Third Proportional to 22,578.75 and 34,354.13

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Solution

The third proportional to 22,578.75 and 34,354.13 is: 52,270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578.75 : 34,354.13 = 34,354.13 : x
  2. Step 2: Convert to fraction form
    22,578.75/34,354.13 = 34,354.13/x
  3. Step 3: Cross multiply
    22,578.75x = 34,354.13 × 34,354.13
  4. Step 4: Simplify right side
    22,578.75x = 1,180,205,904.52
  5. Step 5: Solve for x
    x = 1,180,205,904.52/22,578.75
  6. Step 6: Final answer
    x = 52,270.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.