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Finding the Third Proportional to 81,389 and 167,650

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Solution

The third proportional to 81,389 and 167,650 is: 345,335.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,389 : 167,650 = 167,650 : x
  2. Step 2: Convert to fraction form
    81,389/167,650 = 167,650/x
  3. Step 3: Cross multiply
    81,389x = 167,650 × 167,650
  4. Step 4: Simplify right side
    81,389x = 28,106,522,500
  5. Step 5: Solve for x
    x = 28,106,522,500/81,389
  6. Step 6: Final answer
    x = 345,335.64

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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.