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Finding the Third Proportional to 134,249 and 289,519

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Solution

The third proportional to 134,249 and 289,519 is: 624,371.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,249 : 289,519 = 289,519 : x
  2. Step 2: Convert to fraction form
    134,249/289,519 = 289,519/x
  3. Step 3: Cross multiply
    134,249x = 289,519 × 289,519
  4. Step 4: Simplify right side
    134,249x = 83,821,251,361
  5. Step 5: Solve for x
    x = 83,821,251,361/134,249
  6. Step 6: Final answer
    x = 624,371.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.