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Finding the Third Proportional to 137,138 and 207,170

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Solution

The third proportional to 137,138 and 207,170 is: 312,965.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,138 : 207,170 = 207,170 : x
  2. Step 2: Convert to fraction form
    137,138/207,170 = 207,170/x
  3. Step 3: Cross multiply
    137,138x = 207,170 × 207,170
  4. Step 4: Simplify right side
    137,138x = 42,919,408,900
  5. Step 5: Solve for x
    x = 42,919,408,900/137,138
  6. Step 6: Final answer
    x = 312,965.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.