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Finding the Third Proportional to 77,648 and 171,028

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Solution

The third proportional to 77,648 and 171,028 is: 376,707.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,648 : 171,028 = 171,028 : x
  2. Step 2: Convert to fraction form
    77,648/171,028 = 171,028/x
  3. Step 3: Cross multiply
    77,648x = 171,028 × 171,028
  4. Step 4: Simplify right side
    77,648x = 29,250,576,784
  5. Step 5: Solve for x
    x = 29,250,576,784/77,648
  6. Step 6: Final answer
    x = 376,707.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.