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Finding the Third Proportional to 217,728 and 342,144

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Solution

The third proportional to 217,728 and 342,144 is: 537,654.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,728 : 342,144 = 342,144 : x
  2. Step 2: Convert to fraction form
    217,728/342,144 = 342,144/x
  3. Step 3: Cross multiply
    217,728x = 342,144 × 342,144
  4. Step 4: Simplify right side
    217,728x = 117,062,516,736
  5. Step 5: Solve for x
    x = 117,062,516,736/217,728
  6. Step 6: Final answer
    x = 537,654.86

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Why These Related Problems?

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