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Finding the Third Proportional to 225,688 and 490,257

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Solution

The third proportional to 225,688 and 490,257 is: 1,064,974.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,688 : 490,257 = 490,257 : x
  2. Step 2: Convert to fraction form
    225,688/490,257 = 490,257/x
  3. Step 3: Cross multiply
    225,688x = 490,257 × 490,257
  4. Step 4: Simplify right side
    225,688x = 240,351,926,049
  5. Step 5: Solve for x
    x = 240,351,926,049/225,688
  6. Step 6: Final answer
    x = 1,064,974.33

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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.