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Finding the Third Proportional to 187,974 and 290,934

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Solution

The third proportional to 187,974 and 290,934 is: 450,288.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,974 : 290,934 = 290,934 : x
  2. Step 2: Convert to fraction form
    187,974/290,934 = 290,934/x
  3. Step 3: Cross multiply
    187,974x = 290,934 × 290,934
  4. Step 4: Simplify right side
    187,974x = 84,642,592,356
  5. Step 5: Solve for x
    x = 84,642,592,356/187,974
  6. Step 6: Final answer
    x = 450,288.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.