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Finding the Third Proportional to 50,479 and 78,383.75

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Solution

The third proportional to 50,479 and 78,383.75 is: 121,714.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,479 : 78,383.75 = 78,383.75 : x
  2. Step 2: Convert to fraction form
    50,479/78,383.75 = 78,383.75/x
  3. Step 3: Cross multiply
    50,479x = 78,383.75 × 78,383.75
  4. Step 4: Simplify right side
    50,479x = 6,144,012,264.06
  5. Step 5: Solve for x
    x = 6,144,012,264.06/50,479
  6. Step 6: Final answer
    x = 121,714.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.