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Finding the Third Proportional to 201,285 and 313,105.50

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Solution

The third proportional to 201,285 and 313,105.50 is: 487,046.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,285 : 313,105.50 = 313,105.50 : x
  2. Step 2: Convert to fraction form
    201,285/313,105.50 = 313,105.50/x
  3. Step 3: Cross multiply
    201,285x = 313,105.50 × 313,105.50
  4. Step 4: Simplify right side
    201,285x = 98,035,054,130.25
  5. Step 5: Solve for x
    x = 98,035,054,130.25/201,285
  6. Step 6: Final answer
    x = 487,046.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.