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Finding the Third Proportional to 81,421 and 176,768

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Solution

The third proportional to 81,421 and 176,768 is: 383,769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,421 : 176,768 = 176,768 : x
  2. Step 2: Convert to fraction form
    81,421/176,768 = 176,768/x
  3. Step 3: Cross multiply
    81,421x = 176,768 × 176,768
  4. Step 4: Simplify right side
    81,421x = 31,246,925,824
  5. Step 5: Solve for x
    x = 31,246,925,824/81,421
  6. Step 6: Final answer
    x = 383,769.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.