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Finding the Third Proportional to 427,808 and 490,016

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Solution

The third proportional to 427,808 and 490,016 is: 561,269.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,808 : 490,016 = 490,016 : x
  2. Step 2: Convert to fraction form
    427,808/490,016 = 490,016/x
  3. Step 3: Cross multiply
    427,808x = 490,016 × 490,016
  4. Step 4: Simplify right side
    427,808x = 240,115,680,256
  5. Step 5: Solve for x
    x = 240,115,680,256/427,808
  6. Step 6: Final answer
    x = 561,269.73

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.