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Finding the Third Proportional to 136,854 and 217,929

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Solution

The third proportional to 136,854 and 217,929 is: 347,034.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,854 : 217,929 = 217,929 : x
  2. Step 2: Convert to fraction form
    136,854/217,929 = 217,929/x
  3. Step 3: Cross multiply
    136,854x = 217,929 × 217,929
  4. Step 4: Simplify right side
    136,854x = 47,493,049,041
  5. Step 5: Solve for x
    x = 47,493,049,041/136,854
  6. Step 6: Final answer
    x = 347,034.42

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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.