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Finding the Third Proportional to 76,329 and 171,423

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Solution

The third proportional to 76,329 and 171,423 is: 384,989.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,329 : 171,423 = 171,423 : x
  2. Step 2: Convert to fraction form
    76,329/171,423 = 171,423/x
  3. Step 3: Cross multiply
    76,329x = 171,423 × 171,423
  4. Step 4: Simplify right side
    76,329x = 29,385,844,929
  5. Step 5: Solve for x
    x = 29,385,844,929/76,329
  6. Step 6: Final answer
    x = 384,989.26

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.