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Finding the Third Proportional to 171,318 and 272,817

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Solution

The third proportional to 171,318 and 272,817 is: 434,450.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,318 : 272,817 = 272,817 : x
  2. Step 2: Convert to fraction form
    171,318/272,817 = 272,817/x
  3. Step 3: Cross multiply
    171,318x = 272,817 × 272,817
  4. Step 4: Simplify right side
    171,318x = 74,429,115,489
  5. Step 5: Solve for x
    x = 74,429,115,489/171,318
  6. Step 6: Final answer
    x = 434,450.06

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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.