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Finding the Third Proportional to 133,363.13 and 204,498.84

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Solution

The third proportional to 133,363.13 and 204,498.84 is: 313,578.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,363.13 : 204,498.84 = 204,498.84 : x
  2. Step 2: Convert to fraction form
    133,363.13/204,498.84 = 204,498.84/x
  3. Step 3: Cross multiply
    133,363.13x = 204,498.84 × 204,498.84
  4. Step 4: Simplify right side
    133,363.13x = 41,819,777,095.09
  5. Step 5: Solve for x
    x = 41,819,777,095.09/133,363.13
  6. Step 6: Final answer
    x = 313,578.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.