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Finding the Third Proportional to 187,587 and 290,916

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Solution

The third proportional to 187,587 and 290,916 is: 451,161.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,587 : 290,916 = 290,916 : x
  2. Step 2: Convert to fraction form
    187,587/290,916 = 290,916/x
  3. Step 3: Cross multiply
    187,587x = 290,916 × 290,916
  4. Step 4: Simplify right side
    187,587x = 84,632,119,056
  5. Step 5: Solve for x
    x = 84,632,119,056/187,587
  6. Step 6: Final answer
    x = 451,161.96

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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.