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Finding the Third Proportional to 195,906 and 290,979

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Solution

The third proportional to 195,906 and 290,979 is: 432,190.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,906 : 290,979 = 290,979 : x
  2. Step 2: Convert to fraction form
    195,906/290,979 = 290,979/x
  3. Step 3: Cross multiply
    195,906x = 290,979 × 290,979
  4. Step 4: Simplify right side
    195,906x = 84,668,778,441
  5. Step 5: Solve for x
    x = 84,668,778,441/195,906
  6. Step 6: Final answer
    x = 432,190.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.