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Finding the Third Proportional to 187,888 and 290,580

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Solution

The third proportional to 187,888 and 290,580 is: 449,399.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,888 : 290,580 = 290,580 : x
  2. Step 2: Convert to fraction form
    187,888/290,580 = 290,580/x
  3. Step 3: Cross multiply
    187,888x = 290,580 × 290,580
  4. Step 4: Simplify right side
    187,888x = 84,436,736,400
  5. Step 5: Solve for x
    x = 84,436,736,400/187,888
  6. Step 6: Final answer
    x = 449,399.30

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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.