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Finding the Third Proportional to 220,256 and 480,968

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Solution

The third proportional to 220,256 and 480,968 is: 1,050,278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,256 : 480,968 = 480,968 : x
  2. Step 2: Convert to fraction form
    220,256/480,968 = 480,968/x
  3. Step 3: Cross multiply
    220,256x = 480,968 × 480,968
  4. Step 4: Simplify right side
    220,256x = 231,330,217,024
  5. Step 5: Solve for x
    x = 231,330,217,024/220,256
  6. Step 6: Final answer
    x = 1,050,278.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.