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Finding the Third Proportional to 217,372 and 334,158

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Solution

The third proportional to 217,372 and 334,158 is: 513,688.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,372 : 334,158 = 334,158 : x
  2. Step 2: Convert to fraction form
    217,372/334,158 = 334,158/x
  3. Step 3: Cross multiply
    217,372x = 334,158 × 334,158
  4. Step 4: Simplify right side
    217,372x = 111,661,568,964
  5. Step 5: Solve for x
    x = 111,661,568,964/217,372
  6. Step 6: Final answer
    x = 513,688.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.