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Finding the Third Proportional to 81,710 and 176,324

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Solution

The third proportional to 81,710 and 176,324 is: 380,493.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,710 : 176,324 = 176,324 : x
  2. Step 2: Convert to fraction form
    81,710/176,324 = 176,324/x
  3. Step 3: Cross multiply
    81,710x = 176,324 × 176,324
  4. Step 4: Simplify right side
    81,710x = 31,090,152,976
  5. Step 5: Solve for x
    x = 31,090,152,976/81,710
  6. Step 6: Final answer
    x = 380,493.86

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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.