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Finding the Third Proportional to 272,181 and 422,480

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Solution

The third proportional to 272,181 and 422,480 is: 655,774.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,181 : 422,480 = 422,480 : x
  2. Step 2: Convert to fraction form
    272,181/422,480 = 422,480/x
  3. Step 3: Cross multiply
    272,181x = 422,480 × 422,480
  4. Step 4: Simplify right side
    272,181x = 178,489,350,400
  5. Step 5: Solve for x
    x = 178,489,350,400/272,181
  6. Step 6: Final answer
    x = 655,774.47

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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.