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Finding the Third Proportional to 204,750 and 313,645

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Solution

The third proportional to 204,750 and 313,645 is: 480,455.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,750 : 313,645 = 313,645 : x
  2. Step 2: Convert to fraction form
    204,750/313,645 = 313,645/x
  3. Step 3: Cross multiply
    204,750x = 313,645 × 313,645
  4. Step 4: Simplify right side
    204,750x = 98,373,186,025
  5. Step 5: Solve for x
    x = 98,373,186,025/204,750
  6. Step 6: Final answer
    x = 480,455.12

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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.