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Finding the Third Proportional to 138,911 and 207,451

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Solution

The third proportional to 138,911 and 207,451 is: 309,809.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,911 : 207,451 = 207,451 : x
  2. Step 2: Convert to fraction form
    138,911/207,451 = 207,451/x
  3. Step 3: Cross multiply
    138,911x = 207,451 × 207,451
  4. Step 4: Simplify right side
    138,911x = 43,035,917,401
  5. Step 5: Solve for x
    x = 43,035,917,401/138,911
  6. Step 6: Final answer
    x = 309,809.28

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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.