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Finding the Third Proportional to 81,164 and 176,908

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Solution

The third proportional to 81,164 and 176,908 is: 385,595.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,164 : 176,908 = 176,908 : x
  2. Step 2: Convert to fraction form
    81,164/176,908 = 176,908/x
  3. Step 3: Cross multiply
    81,164x = 176,908 × 176,908
  4. Step 4: Simplify right side
    81,164x = 31,296,440,464
  5. Step 5: Solve for x
    x = 31,296,440,464/81,164
  6. Step 6: Final answer
    x = 385,595.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.