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Finding the Third Proportional to 217,872 and 308,304

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Solution

The third proportional to 217,872 and 308,304 is: 436,271.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,872 : 308,304 = 308,304 : x
  2. Step 2: Convert to fraction form
    217,872/308,304 = 308,304/x
  3. Step 3: Cross multiply
    217,872x = 308,304 × 308,304
  4. Step 4: Simplify right side
    217,872x = 95,051,356,416
  5. Step 5: Solve for x
    x = 95,051,356,416/217,872
  6. Step 6: Final answer
    x = 436,271.56

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.