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Finding the Third Proportional to 51,218 and 80,346

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Solution

The third proportional to 51,218 and 80,346 is: 126,039.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,218 : 80,346 = 80,346 : x
  2. Step 2: Convert to fraction form
    51,218/80,346 = 80,346/x
  3. Step 3: Cross multiply
    51,218x = 80,346 × 80,346
  4. Step 4: Simplify right side
    51,218x = 6,455,479,716
  5. Step 5: Solve for x
    x = 6,455,479,716/51,218
  6. Step 6: Final answer
    x = 126,039.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.