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Finding the Third Proportional to 187,708 and 290,891

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Solution

The third proportional to 187,708 and 290,891 is: 450,793.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,708 : 290,891 = 290,891 : x
  2. Step 2: Convert to fraction form
    187,708/290,891 = 290,891/x
  3. Step 3: Cross multiply
    187,708x = 290,891 × 290,891
  4. Step 4: Simplify right side
    187,708x = 84,617,573,881
  5. Step 5: Solve for x
    x = 84,617,573,881/187,708
  6. Step 6: Final answer
    x = 450,793.65

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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.