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Finding the Third Proportional to 171,314 and 272,811

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Solution

The third proportional to 171,314 and 272,811 is: 434,441.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,314 : 272,811 = 272,811 : x
  2. Step 2: Convert to fraction form
    171,314/272,811 = 272,811/x
  3. Step 3: Cross multiply
    171,314x = 272,811 × 272,811
  4. Step 4: Simplify right side
    171,314x = 74,425,841,721
  5. Step 5: Solve for x
    x = 74,425,841,721/171,314
  6. Step 6: Final answer
    x = 434,441.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.