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Finding the Third Proportional to 76,721 and 164,102

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Solution

The third proportional to 76,721 and 164,102 is: 351,005.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,721 : 164,102 = 164,102 : x
  2. Step 2: Convert to fraction form
    76,721/164,102 = 164,102/x
  3. Step 3: Cross multiply
    76,721x = 164,102 × 164,102
  4. Step 4: Simplify right side
    76,721x = 26,929,466,404
  5. Step 5: Solve for x
    x = 26,929,466,404/76,721
  6. Step 6: Final answer
    x = 351,005.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.