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Finding the Third Proportional to 78,274 and 119,102

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Solution

The third proportional to 78,274 and 119,102 is: 181,226.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,274 : 119,102 = 119,102 : x
  2. Step 2: Convert to fraction form
    78,274/119,102 = 119,102/x
  3. Step 3: Cross multiply
    78,274x = 119,102 × 119,102
  4. Step 4: Simplify right side
    78,274x = 14,185,286,404
  5. Step 5: Solve for x
    x = 14,185,286,404/78,274
  6. Step 6: Final answer
    x = 181,226.03

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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.