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Finding the Third Proportional to 78,858 and 119,107

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Solution

The third proportional to 78,858 and 119,107 is: 179,899.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,858 : 119,107 = 119,107 : x
  2. Step 2: Convert to fraction form
    78,858/119,107 = 119,107/x
  3. Step 3: Cross multiply
    78,858x = 119,107 × 119,107
  4. Step 4: Simplify right side
    78,858x = 14,186,477,449
  5. Step 5: Solve for x
    x = 14,186,477,449/78,858
  6. Step 6: Final answer
    x = 179,899.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.