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Finding the Third Proportional to 81,700 and 170,884

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Solution

The third proportional to 81,700 and 170,884 is: 357,421.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,700 : 170,884 = 170,884 : x
  2. Step 2: Convert to fraction form
    81,700/170,884 = 170,884/x
  3. Step 3: Cross multiply
    81,700x = 170,884 × 170,884
  4. Step 4: Simplify right side
    81,700x = 29,201,341,456
  5. Step 5: Solve for x
    x = 29,201,341,456/81,700
  6. Step 6: Final answer
    x = 357,421.56

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.