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Finding the Third Proportional to 225,642 and 490,191

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Solution

The third proportional to 225,642 and 490,191 is: 1,064,904.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,642 : 490,191 = 490,191 : x
  2. Step 2: Convert to fraction form
    225,642/490,191 = 490,191/x
  3. Step 3: Cross multiply
    225,642x = 490,191 × 490,191
  4. Step 4: Simplify right side
    225,642x = 240,287,216,481
  5. Step 5: Solve for x
    x = 240,287,216,481/225,642
  6. Step 6: Final answer
    x = 1,064,904.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.