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Finding the Third Proportional to 137,102 and 207,381

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Solution

The third proportional to 137,102 and 207,381 is: 313,685.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,102 : 207,381 = 207,381 : x
  2. Step 2: Convert to fraction form
    137,102/207,381 = 207,381/x
  3. Step 3: Cross multiply
    137,102x = 207,381 × 207,381
  4. Step 4: Simplify right side
    137,102x = 43,006,879,161
  5. Step 5: Solve for x
    x = 43,006,879,161/137,102
  6. Step 6: Final answer
    x = 313,685.28

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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.