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Finding the Third Proportional to 81,365 and 171,478

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Solution

The third proportional to 81,365 and 171,478 is: 361,392.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,365 : 171,478 = 171,478 : x
  2. Step 2: Convert to fraction form
    81,365/171,478 = 171,478/x
  3. Step 3: Cross multiply
    81,365x = 171,478 × 171,478
  4. Step 4: Simplify right side
    81,365x = 29,404,704,484
  5. Step 5: Solve for x
    x = 29,404,704,484/81,365
  6. Step 6: Final answer
    x = 361,392.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.