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Finding the Third Proportional to 225,185 and 485,281

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Solution

The third proportional to 225,185 and 485,281 is: 1,045,796.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,185 : 485,281 = 485,281 : x
  2. Step 2: Convert to fraction form
    225,185/485,281 = 485,281/x
  3. Step 3: Cross multiply
    225,185x = 485,281 × 485,281
  4. Step 4: Simplify right side
    225,185x = 235,497,648,961
  5. Step 5: Solve for x
    x = 235,497,648,961/225,185
  6. Step 6: Final answer
    x = 1,045,796.34

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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.