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Finding the Third Proportional to 78,842 and 122,406

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Solution

The third proportional to 78,842 and 122,406 is: 190,041.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,842 : 122,406 = 122,406 : x
  2. Step 2: Convert to fraction form
    78,842/122,406 = 122,406/x
  3. Step 3: Cross multiply
    78,842x = 122,406 × 122,406
  4. Step 4: Simplify right side
    78,842x = 14,983,228,836
  5. Step 5: Solve for x
    x = 14,983,228,836/78,842
  6. Step 6: Final answer
    x = 190,041.21

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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.