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Finding the Third Proportional to 71,829 and 115,278.75

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Solution

The third proportional to 71,829 and 115,278.75 is: 185,011.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,829 : 115,278.75 = 115,278.75 : x
  2. Step 2: Convert to fraction form
    71,829/115,278.75 = 115,278.75/x
  3. Step 3: Cross multiply
    71,829x = 115,278.75 × 115,278.75
  4. Step 4: Simplify right side
    71,829x = 13,289,190,201.56
  5. Step 5: Solve for x
    x = 13,289,190,201.56/71,829
  6. Step 6: Final answer
    x = 185,011.49

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.