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Finding the Third Proportional to 269,253 and 422,414

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Solution

The third proportional to 269,253 and 422,414 is: 662,698.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,253 : 422,414 = 422,414 : x
  2. Step 2: Convert to fraction form
    269,253/422,414 = 422,414/x
  3. Step 3: Cross multiply
    269,253x = 422,414 × 422,414
  4. Step 4: Simplify right side
    269,253x = 178,433,587,396
  5. Step 5: Solve for x
    x = 178,433,587,396/269,253
  6. Step 6: Final answer
    x = 662,698.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.