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Finding the Third Proportional to 187,042 and 290,211

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Solution

The third proportional to 187,042 and 290,211 is: 450,286.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,042 : 290,211 = 290,211 : x
  2. Step 2: Convert to fraction form
    187,042/290,211 = 290,211/x
  3. Step 3: Cross multiply
    187,042x = 290,211 × 290,211
  4. Step 4: Simplify right side
    187,042x = 84,222,424,521
  5. Step 5: Solve for x
    x = 84,222,424,521/187,042
  6. Step 6: Final answer
    x = 450,286.16

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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.