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Finding the Third Proportional to 187,769 and 290,563

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Solution

The third proportional to 187,769 and 290,563 is: 449,631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,769 : 290,563 = 290,563 : x
  2. Step 2: Convert to fraction form
    187,769/290,563 = 290,563/x
  3. Step 3: Cross multiply
    187,769x = 290,563 × 290,563
  4. Step 4: Simplify right side
    187,769x = 84,426,856,969
  5. Step 5: Solve for x
    x = 84,426,856,969/187,769
  6. Step 6: Final answer
    x = 449,631.50

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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.