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Finding the Third Proportional to 224,201.25 and 333,109.13

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Solution

The third proportional to 224,201.25 and 333,109.13 is: 494,920.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,201.25 : 333,109.13 = 333,109.13 : x
  2. Step 2: Convert to fraction form
    224,201.25/333,109.13 = 333,109.13/x
  3. Step 3: Cross multiply
    224,201.25x = 333,109.13 × 333,109.13
  4. Step 4: Simplify right side
    224,201.25x = 110,961,689,158.27
  5. Step 5: Solve for x
    x = 110,961,689,158.27/224,201.25
  6. Step 6: Final answer
    x = 494,920.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.