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Finding the Third Proportional to 76,810 and 115,215

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Solution

The third proportional to 76,810 and 115,215 is: 172,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,810 : 115,215 = 115,215 : x
  2. Step 2: Convert to fraction form
    76,810/115,215 = 115,215/x
  3. Step 3: Cross multiply
    76,810x = 115,215 × 115,215
  4. Step 4: Simplify right side
    76,810x = 13,274,496,225
  5. Step 5: Solve for x
    x = 13,274,496,225/76,810
  6. Step 6: Final answer
    x = 172,822.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.