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Finding the Third Proportional to 217,872 and 342,376

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Solution

The third proportional to 217,872 and 342,376 is: 538,028.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,872 : 342,376 = 342,376 : x
  2. Step 2: Convert to fraction form
    217,872/342,376 = 342,376/x
  3. Step 3: Cross multiply
    217,872x = 342,376 × 342,376
  4. Step 4: Simplify right side
    217,872x = 117,221,325,376
  5. Step 5: Solve for x
    x = 117,221,325,376/217,872
  6. Step 6: Final answer
    x = 538,028.41

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.