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Finding the Third Proportional to 187,066 and 290,249

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Solution

The third proportional to 187,066 and 290,249 is: 450,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,066 : 290,249 = 290,249 : x
  2. Step 2: Convert to fraction form
    187,066/290,249 = 290,249/x
  3. Step 3: Cross multiply
    187,066x = 290,249 × 290,249
  4. Step 4: Simplify right side
    187,066x = 84,244,482,001
  5. Step 5: Solve for x
    x = 84,244,482,001/187,066
  6. Step 6: Final answer
    x = 450,346.31

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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.