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Finding the Third Proportional to 77,869.27 and 121,994.23

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Solution

The third proportional to 77,869.27 and 121,994.23 is: 191,122.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,869.27 : 121,994.23 = 121,994.23 : x
  2. Step 2: Convert to fraction form
    77,869.27/121,994.23 = 121,994.23/x
  3. Step 3: Cross multiply
    77,869.27x = 121,994.23 × 121,994.23
  4. Step 4: Simplify right side
    77,869.27x = 14,882,591,314.58
  5. Step 5: Solve for x
    x = 14,882,591,314.58/77,869.27
  6. Step 6: Final answer
    x = 191,122.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.