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Finding the Third Proportional to 136,858 and 217,934

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Solution

The third proportional to 136,858 and 217,934 is: 347,040.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,858 : 217,934 = 217,934 : x
  2. Step 2: Convert to fraction form
    136,858/217,934 = 217,934/x
  3. Step 3: Cross multiply
    136,858x = 217,934 × 217,934
  4. Step 4: Simplify right side
    136,858x = 47,495,228,356
  5. Step 5: Solve for x
    x = 47,495,228,356/136,858
  6. Step 6: Final answer
    x = 347,040.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.