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Finding the Third Proportional to 82,588 and 176,836

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Solution

The third proportional to 82,588 and 176,836 is: 378,638.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,588 : 176,836 = 176,836 : x
  2. Step 2: Convert to fraction form
    82,588/176,836 = 176,836/x
  3. Step 3: Cross multiply
    82,588x = 176,836 × 176,836
  4. Step 4: Simplify right side
    82,588x = 31,270,970,896
  5. Step 5: Solve for x
    x = 31,270,970,896/82,588
  6. Step 6: Final answer
    x = 378,638.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.