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Finding the Third Proportional to 225,801 and 487,242

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Solution

The third proportional to 225,801 and 487,242 is: 1,051,389.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,801 : 487,242 = 487,242 : x
  2. Step 2: Convert to fraction form
    225,801/487,242 = 487,242/x
  3. Step 3: Cross multiply
    225,801x = 487,242 × 487,242
  4. Step 4: Simplify right side
    225,801x = 237,404,766,564
  5. Step 5: Solve for x
    x = 237,404,766,564/225,801
  6. Step 6: Final answer
    x = 1,051,389.35

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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.