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Finding the Third Proportional to 120,433 and 169,447

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Solution

The third proportional to 120,433 and 169,447 is: 238,408.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,433 : 169,447 = 169,447 : x
  2. Step 2: Convert to fraction form
    120,433/169,447 = 169,447/x
  3. Step 3: Cross multiply
    120,433x = 169,447 × 169,447
  4. Step 4: Simplify right side
    120,433x = 28,712,285,809
  5. Step 5: Solve for x
    x = 28,712,285,809/120,433
  6. Step 6: Final answer
    x = 238,408.79

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.