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Finding the Third Proportional to 272,218 and 422,372

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Solution

The third proportional to 272,218 and 422,372 is: 655,350.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,218 : 422,372 = 422,372 : x
  2. Step 2: Convert to fraction form
    272,218/422,372 = 422,372/x
  3. Step 3: Cross multiply
    272,218x = 422,372 × 422,372
  4. Step 4: Simplify right side
    272,218x = 178,398,106,384
  5. Step 5: Solve for x
    x = 178,398,106,384/272,218
  6. Step 6: Final answer
    x = 655,350.15

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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.