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Finding the Third Proportional to 78,187 and 170,713

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Solution

The third proportional to 78,187 and 170,713 is: 372,733.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,187 : 170,713 = 170,713 : x
  2. Step 2: Convert to fraction form
    78,187/170,713 = 170,713/x
  3. Step 3: Cross multiply
    78,187x = 170,713 × 170,713
  4. Step 4: Simplify right side
    78,187x = 29,142,928,369
  5. Step 5: Solve for x
    x = 29,142,928,369/78,187
  6. Step 6: Final answer
    x = 372,733.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.