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Finding the Third Proportional to 105,439 and 227,486

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Solution

The third proportional to 105,439 and 227,486 is: 490,803.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,439 : 227,486 = 227,486 : x
  2. Step 2: Convert to fraction form
    105,439/227,486 = 227,486/x
  3. Step 3: Cross multiply
    105,439x = 227,486 × 227,486
  4. Step 4: Simplify right side
    105,439x = 51,749,880,196
  5. Step 5: Solve for x
    x = 51,749,880,196/105,439
  6. Step 6: Final answer
    x = 490,803.97

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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.