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Finding the Third Proportional to 81,740 and 176,389

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Solution

The third proportional to 81,740 and 176,389 is: 380,634.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,740 : 176,389 = 176,389 : x
  2. Step 2: Convert to fraction form
    81,740/176,389 = 176,389/x
  3. Step 3: Cross multiply
    81,740x = 176,389 × 176,389
  4. Step 4: Simplify right side
    81,740x = 31,113,079,321
  5. Step 5: Solve for x
    x = 31,113,079,321/81,740
  6. Step 6: Final answer
    x = 380,634.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.