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Finding the Third Proportional to 220,263 and 317,997

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Solution

The third proportional to 220,263 and 317,997 is: 459,097.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,263 : 317,997 = 317,997 : x
  2. Step 2: Convert to fraction form
    220,263/317,997 = 317,997/x
  3. Step 3: Cross multiply
    220,263x = 317,997 × 317,997
  4. Step 4: Simplify right side
    220,263x = 101,122,092,009
  5. Step 5: Solve for x
    x = 101,122,092,009/220,263
  6. Step 6: Final answer
    x = 459,097.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.