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Finding the Third Proportional to 137,100 and 207,378

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Solution

The third proportional to 137,100 and 207,378 is: 313,680.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,100 : 207,378 = 207,378 : x
  2. Step 2: Convert to fraction form
    137,100/207,378 = 207,378/x
  3. Step 3: Cross multiply
    137,100x = 207,378 × 207,378
  4. Step 4: Simplify right side
    137,100x = 43,005,634,884
  5. Step 5: Solve for x
    x = 43,005,634,884/137,100
  6. Step 6: Final answer
    x = 313,680.78

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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.