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Finding the Third Proportional to 272,002 and 422,211

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Solution

The third proportional to 272,002 and 422,211 is: 655,370.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,002 : 422,211 = 422,211 : x
  2. Step 2: Convert to fraction form
    272,002/422,211 = 422,211/x
  3. Step 3: Cross multiply
    272,002x = 422,211 × 422,211
  4. Step 4: Simplify right side
    272,002x = 178,262,128,521
  5. Step 5: Solve for x
    x = 178,262,128,521/272,002
  6. Step 6: Final answer
    x = 655,370.65

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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.