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Finding the Third Proportional to 224,554 and 339,158

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Solution

The third proportional to 224,554 and 339,158 is: 512,251.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,554 : 339,158 = 339,158 : x
  2. Step 2: Convert to fraction form
    224,554/339,158 = 339,158/x
  3. Step 3: Cross multiply
    224,554x = 339,158 × 339,158
  4. Step 4: Simplify right side
    224,554x = 115,028,148,964
  5. Step 5: Solve for x
    x = 115,028,148,964/224,554
  6. Step 6: Final answer
    x = 512,251.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.