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Finding the Third Proportional to 226,440 and 290,412

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Solution

The third proportional to 226,440 and 290,412 is: 372,456.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,440 : 290,412 = 290,412 : x
  2. Step 2: Convert to fraction form
    226,440/290,412 = 290,412/x
  3. Step 3: Cross multiply
    226,440x = 290,412 × 290,412
  4. Step 4: Simplify right side
    226,440x = 84,339,129,744
  5. Step 5: Solve for x
    x = 84,339,129,744/226,440
  6. Step 6: Final answer
    x = 372,456.85

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.