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Finding the Third Proportional to 195,902 and 290,972

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Solution

The third proportional to 195,902 and 290,972 is: 432,178.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,902 : 290,972 = 290,972 : x
  2. Step 2: Convert to fraction form
    195,902/290,972 = 290,972/x
  3. Step 3: Cross multiply
    195,902x = 290,972 × 290,972
  4. Step 4: Simplify right side
    195,902x = 84,664,704,784
  5. Step 5: Solve for x
    x = 84,664,704,784/195,902
  6. Step 6: Final answer
    x = 432,178.87

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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.