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Finding the Third Proportional to 427,934 and 662,268

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Solution

The third proportional to 427,934 and 662,268 is: 1,024,921.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,934 : 662,268 = 662,268 : x
  2. Step 2: Convert to fraction form
    427,934/662,268 = 662,268/x
  3. Step 3: Cross multiply
    427,934x = 662,268 × 662,268
  4. Step 4: Simplify right side
    427,934x = 438,598,903,824
  5. Step 5: Solve for x
    x = 438,598,903,824/427,934
  6. Step 6: Final answer
    x = 1,024,921.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.