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Finding the Third Proportional to 272,576 and 422,592

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Solution

The third proportional to 272,576 and 422,592 is: 655,171.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,576 : 422,592 = 422,592 : x
  2. Step 2: Convert to fraction form
    272,576/422,592 = 422,592/x
  3. Step 3: Cross multiply
    272,576x = 422,592 × 422,592
  4. Step 4: Simplify right side
    272,576x = 178,583,998,464
  5. Step 5: Solve for x
    x = 178,583,998,464/272,576
  6. Step 6: Final answer
    x = 655,171.40

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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.