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Finding the Third Proportional to 217,760 and 342,192

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Solution

The third proportional to 217,760 and 342,192 is: 537,726.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,760 : 342,192 = 342,192 : x
  2. Step 2: Convert to fraction form
    217,760/342,192 = 342,192/x
  3. Step 3: Cross multiply
    217,760x = 342,192 × 342,192
  4. Step 4: Simplify right side
    217,760x = 117,095,364,864
  5. Step 5: Solve for x
    x = 117,095,364,864/217,760
  6. Step 6: Final answer
    x = 537,726.69

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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.