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Finding the Third Proportional to 200,715 and 310,067

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Solution

The third proportional to 200,715 and 310,067 is: 478,995.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,715 : 310,067 = 310,067 : x
  2. Step 2: Convert to fraction form
    200,715/310,067 = 310,067/x
  3. Step 3: Cross multiply
    200,715x = 310,067 × 310,067
  4. Step 4: Simplify right side
    200,715x = 96,141,544,489
  5. Step 5: Solve for x
    x = 96,141,544,489/200,715
  6. Step 6: Final answer
    x = 478,995.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.