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Finding the Third Proportional to 187,859 and 290,921

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Solution

The third proportional to 187,859 and 290,921 is: 450,524.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,859 : 290,921 = 290,921 : x
  2. Step 2: Convert to fraction form
    187,859/290,921 = 290,921/x
  3. Step 3: Cross multiply
    187,859x = 290,921 × 290,921
  4. Step 4: Simplify right side
    187,859x = 84,635,028,241
  5. Step 5: Solve for x
    x = 84,635,028,241/187,859
  6. Step 6: Final answer
    x = 450,524.21

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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.