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Finding the Third Proportional to 51,104 and 78,940

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Solution

The third proportional to 51,104 and 78,940 is: 121,938.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,104 : 78,940 = 78,940 : x
  2. Step 2: Convert to fraction form
    51,104/78,940 = 78,940/x
  3. Step 3: Cross multiply
    51,104x = 78,940 × 78,940
  4. Step 4: Simplify right side
    51,104x = 6,231,523,600
  5. Step 5: Solve for x
    x = 6,231,523,600/51,104
  6. Step 6: Final answer
    x = 121,938.08

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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.