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Finding the Third Proportional to 78,373 and 141,193

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Solution

The third proportional to 78,373 and 141,193 is: 254,366.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,373 : 141,193 = 141,193 : x
  2. Step 2: Convert to fraction form
    78,373/141,193 = 141,193/x
  3. Step 3: Cross multiply
    78,373x = 141,193 × 141,193
  4. Step 4: Simplify right side
    78,373x = 19,935,463,249
  5. Step 5: Solve for x
    x = 19,935,463,249/78,373
  6. Step 6: Final answer
    x = 254,366.47

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.