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Finding the Third Proportional to 217,467 and 306,243

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Solution

The third proportional to 217,467 and 306,243 is: 431,259.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,467 : 306,243 = 306,243 : x
  2. Step 2: Convert to fraction form
    217,467/306,243 = 306,243/x
  3. Step 3: Cross multiply
    217,467x = 306,243 × 306,243
  4. Step 4: Simplify right side
    217,467x = 93,784,775,049
  5. Step 5: Solve for x
    x = 93,784,775,049/217,467
  6. Step 6: Final answer
    x = 431,259.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.