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Finding the Third Proportional to 78,807.94 and 122,221.41

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Solution

The third proportional to 78,807.94 and 122,221.41 is: 189,550.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,807.94 : 122,221.41 = 122,221.41 : x
  2. Step 2: Convert to fraction form
    78,807.94/122,221.41 = 122,221.41/x
  3. Step 3: Cross multiply
    78,807.94x = 122,221.41 × 122,221.41
  4. Step 4: Simplify right side
    78,807.94x = 14,938,072,145.73
  5. Step 5: Solve for x
    x = 14,938,072,145.73/78,807.94
  6. Step 6: Final answer
    x = 189,550.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.