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Finding the Third Proportional to 204,552.84 and 307,108.34

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Solution

The third proportional to 204,552.84 and 307,108.34 is: 461,081.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,552.84 : 307,108.34 = 307,108.34 : x
  2. Step 2: Convert to fraction form
    204,552.84/307,108.34 = 307,108.34/x
  3. Step 3: Cross multiply
    204,552.84x = 307,108.34 × 307,108.34
  4. Step 4: Simplify right side
    204,552.84x = 94,315,530,002.30
  5. Step 5: Solve for x
    x = 94,315,530,002.30/204,552.84
  6. Step 6: Final answer
    x = 461,081.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.