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Finding the Third Proportional to 136,176 and 199,686

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Solution

The third proportional to 136,176 and 199,686 is: 292,815.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,176 : 199,686 = 199,686 : x
  2. Step 2: Convert to fraction form
    136,176/199,686 = 199,686/x
  3. Step 3: Cross multiply
    136,176x = 199,686 × 199,686
  4. Step 4: Simplify right side
    136,176x = 39,874,498,596
  5. Step 5: Solve for x
    x = 39,874,498,596/136,176
  6. Step 6: Final answer
    x = 292,815.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.