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Finding the Third Proportional to 272,000 and 422,208

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Solution

The third proportional to 272,000 and 422,208 is: 655,366.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,000 : 422,208 = 422,208 : x
  2. Step 2: Convert to fraction form
    272,000/422,208 = 422,208/x
  3. Step 3: Cross multiply
    272,000x = 422,208 × 422,208
  4. Step 4: Simplify right side
    272,000x = 178,259,595,264
  5. Step 5: Solve for x
    x = 178,259,595,264/272,000
  6. Step 6: Final answer
    x = 655,366.16

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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.