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Finding the Third Proportional to 79,778.25 and 121,324.50

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Solution

The third proportional to 79,778.25 and 121,324.50 is: 184,506.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,778.25 : 121,324.50 = 121,324.50 : x
  2. Step 2: Convert to fraction form
    79,778.25/121,324.50 = 121,324.50/x
  3. Step 3: Cross multiply
    79,778.25x = 121,324.50 × 121,324.50
  4. Step 4: Simplify right side
    79,778.25x = 14,719,634,300.25
  5. Step 5: Solve for x
    x = 14,719,634,300.25/79,778.25
  6. Step 6: Final answer
    x = 184,506.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.