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Finding the Third Proportional to 136,171 and 207,137

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Solution

The third proportional to 136,171 and 207,137 is: 315,087.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,171 : 207,137 = 207,137 : x
  2. Step 2: Convert to fraction form
    136,171/207,137 = 207,137/x
  3. Step 3: Cross multiply
    136,171x = 207,137 × 207,137
  4. Step 4: Simplify right side
    136,171x = 42,905,736,769
  5. Step 5: Solve for x
    x = 42,905,736,769/136,171
  6. Step 6: Final answer
    x = 315,087.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.