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Finding the Third Proportional to 78,194 and 120,663

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Solution

The third proportional to 78,194 and 120,663 is: 186,197.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,194 : 120,663 = 120,663 : x
  2. Step 2: Convert to fraction form
    78,194/120,663 = 120,663/x
  3. Step 3: Cross multiply
    78,194x = 120,663 × 120,663
  4. Step 4: Simplify right side
    78,194x = 14,559,559,569
  5. Step 5: Solve for x
    x = 14,559,559,569/78,194
  6. Step 6: Final answer
    x = 186,197.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.