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Finding the Third Proportional to 187,190 and 290,938

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Solution

The third proportional to 187,190 and 290,938 is: 452,187.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,190 : 290,938 = 290,938 : x
  2. Step 2: Convert to fraction form
    187,190/290,938 = 290,938/x
  3. Step 3: Cross multiply
    187,190x = 290,938 × 290,938
  4. Step 4: Simplify right side
    187,190x = 84,644,919,844
  5. Step 5: Solve for x
    x = 84,644,919,844/187,190
  6. Step 6: Final answer
    x = 452,187.19

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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.