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Finding the Third Proportional to 187,754 and 290,908

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Solution

The third proportional to 187,754 and 290,908 is: 450,735.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,754 : 290,908 = 290,908 : x
  2. Step 2: Convert to fraction form
    187,754/290,908 = 290,908/x
  3. Step 3: Cross multiply
    187,754x = 290,908 × 290,908
  4. Step 4: Simplify right side
    187,754x = 84,627,464,464
  5. Step 5: Solve for x
    x = 84,627,464,464/187,754
  6. Step 6: Final answer
    x = 450,735.88

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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.