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Finding the Third Proportional to 215,993 and 290,769

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Solution

The third proportional to 215,993 and 290,769 is: 391,432.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,993 : 290,769 = 290,769 : x
  2. Step 2: Convert to fraction form
    215,993/290,769 = 290,769/x
  3. Step 3: Cross multiply
    215,993x = 290,769 × 290,769
  4. Step 4: Simplify right side
    215,993x = 84,546,611,361
  5. Step 5: Solve for x
    x = 84,546,611,361/215,993
  6. Step 6: Final answer
    x = 391,432.18

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.