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Finding the Third Proportional to 201,864 and 313,456

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Solution

The third proportional to 201,864 and 313,456 is: 486,736.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,864 : 313,456 = 313,456 : x
  2. Step 2: Convert to fraction form
    201,864/313,456 = 313,456/x
  3. Step 3: Cross multiply
    201,864x = 313,456 × 313,456
  4. Step 4: Simplify right side
    201,864x = 98,254,663,936
  5. Step 5: Solve for x
    x = 98,254,663,936/201,864
  6. Step 6: Final answer
    x = 486,736.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.