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Finding the Third Proportional to 50,811.50 and 78,369

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Solution

The third proportional to 50,811.50 and 78,369 is: 120,872.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,811.50 : 78,369 = 78,369 : x
  2. Step 2: Convert to fraction form
    50,811.50/78,369 = 78,369/x
  3. Step 3: Cross multiply
    50,811.50x = 78,369 × 78,369
  4. Step 4: Simplify right side
    50,811.50x = 6,141,700,161
  5. Step 5: Solve for x
    x = 6,141,700,161/50,811.50
  6. Step 6: Final answer
    x = 120,872.25

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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.