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Finding the Third Proportional to 138,868 and 207,394

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Solution

The third proportional to 138,868 and 207,394 is: 309,734.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,868 : 207,394 = 207,394 : x
  2. Step 2: Convert to fraction form
    138,868/207,394 = 207,394/x
  3. Step 3: Cross multiply
    138,868x = 207,394 × 207,394
  4. Step 4: Simplify right side
    138,868x = 43,012,271,236
  5. Step 5: Solve for x
    x = 43,012,271,236/138,868
  6. Step 6: Final answer
    x = 309,734.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.