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Finding the Third Proportional to 81,072 and 176,758

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Solution

The third proportional to 81,072 and 176,758 is: 385,378.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,072 : 176,758 = 176,758 : x
  2. Step 2: Convert to fraction form
    81,072/176,758 = 176,758/x
  3. Step 3: Cross multiply
    81,072x = 176,758 × 176,758
  4. Step 4: Simplify right side
    81,072x = 31,243,390,564
  5. Step 5: Solve for x
    x = 31,243,390,564/81,072
  6. Step 6: Final answer
    x = 385,378.31

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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.