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Finding the Third Proportional to 272,005 and 422,216

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Solution

The third proportional to 272,005 and 422,216 is: 655,378.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,005 : 422,216 = 422,216 : x
  2. Step 2: Convert to fraction form
    272,005/422,216 = 422,216/x
  3. Step 3: Cross multiply
    272,005x = 422,216 × 422,216
  4. Step 4: Simplify right side
    272,005x = 178,266,350,656
  5. Step 5: Solve for x
    x = 178,266,350,656/272,005
  6. Step 6: Final answer
    x = 655,378.95

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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.