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Finding the Third Proportional to 226,154 and 487,912

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Solution

The third proportional to 226,154 and 487,912 is: 1,052,637.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,154 : 487,912 = 487,912 : x
  2. Step 2: Convert to fraction form
    226,154/487,912 = 487,912/x
  3. Step 3: Cross multiply
    226,154x = 487,912 × 487,912
  4. Step 4: Simplify right side
    226,154x = 238,058,119,744
  5. Step 5: Solve for x
    x = 238,058,119,744/226,154
  6. Step 6: Final answer
    x = 1,052,637.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.