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Finding the Third Proportional to 79,718 and 115,263

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Solution

The third proportional to 79,718 and 115,263 is: 166,656.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,718 : 115,263 = 115,263 : x
  2. Step 2: Convert to fraction form
    79,718/115,263 = 115,263/x
  3. Step 3: Cross multiply
    79,718x = 115,263 × 115,263
  4. Step 4: Simplify right side
    79,718x = 13,285,559,169
  5. Step 5: Solve for x
    x = 13,285,559,169/79,718
  6. Step 6: Final answer
    x = 166,656.96

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.