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Finding the Third Proportional to 225,285 and 314,963

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Solution

The third proportional to 225,285 and 314,963 is: 440,338.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,285 : 314,963 = 314,963 : x
  2. Step 2: Convert to fraction form
    225,285/314,963 = 314,963/x
  3. Step 3: Cross multiply
    225,285x = 314,963 × 314,963
  4. Step 4: Simplify right side
    225,285x = 99,201,691,369
  5. Step 5: Solve for x
    x = 99,201,691,369/225,285
  6. Step 6: Final answer
    x = 440,338.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.