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Finding the Third Proportional to 79,677 and 120,132

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Solution

The third proportional to 79,677 and 120,132 is: 181,127.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,677 : 120,132 = 120,132 : x
  2. Step 2: Convert to fraction form
    79,677/120,132 = 120,132/x
  3. Step 3: Cross multiply
    79,677x = 120,132 × 120,132
  4. Step 4: Simplify right side
    79,677x = 14,431,697,424
  5. Step 5: Solve for x
    x = 14,431,697,424/79,677
  6. Step 6: Final answer
    x = 181,127.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.