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Finding the Third Proportional to 81,018 and 167,220

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Solution

The third proportional to 81,018 and 167,220 is: 345,139.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,018 : 167,220 = 167,220 : x
  2. Step 2: Convert to fraction form
    81,018/167,220 = 167,220/x
  3. Step 3: Cross multiply
    81,018x = 167,220 × 167,220
  4. Step 4: Simplify right side
    81,018x = 27,962,528,400
  5. Step 5: Solve for x
    x = 27,962,528,400/81,018
  6. Step 6: Final answer
    x = 345,139.70

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.