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Finding the Third Proportional to 187,907 and 290,832

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Solution

The third proportional to 187,907 and 290,832 is: 450,133.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,907 : 290,832 = 290,832 : x
  2. Step 2: Convert to fraction form
    187,907/290,832 = 290,832/x
  3. Step 3: Cross multiply
    187,907x = 290,832 × 290,832
  4. Step 4: Simplify right side
    187,907x = 84,583,252,224
  5. Step 5: Solve for x
    x = 84,583,252,224/187,907
  6. Step 6: Final answer
    x = 450,133.59

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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.