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Finding the Third Proportional to 169,447 and 361,413

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Solution

The third proportional to 169,447 and 361,413 is: 770,856.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,447 : 361,413 = 361,413 : x
  2. Step 2: Convert to fraction form
    169,447/361,413 = 361,413/x
  3. Step 3: Cross multiply
    169,447x = 361,413 × 361,413
  4. Step 4: Simplify right side
    169,447x = 130,619,356,569
  5. Step 5: Solve for x
    x = 130,619,356,569/169,447
  6. Step 6: Final answer
    x = 770,856.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.