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Finding the Third Proportional to 77,868 and 121,987.69

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Solution

The third proportional to 77,868 and 121,987.69 is: 191,105.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,868 : 121,987.69 = 121,987.69 : x
  2. Step 2: Convert to fraction form
    77,868/121,987.69 = 121,987.69/x
  3. Step 3: Cross multiply
    77,868x = 121,987.69 × 121,987.69
  4. Step 4: Simplify right side
    77,868x = 14,880,995,901.60
  5. Step 5: Solve for x
    x = 14,880,995,901.60/77,868
  6. Step 6: Final answer
    x = 191,105.41

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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.