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Finding the Third Proportional to 76,840 and 164,328

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Solution

The third proportional to 76,840 and 164,328 is: 351,427.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,840 : 164,328 = 164,328 : x
  2. Step 2: Convert to fraction form
    76,840/164,328 = 164,328/x
  3. Step 3: Cross multiply
    76,840x = 164,328 × 164,328
  4. Step 4: Simplify right side
    76,840x = 27,003,691,584
  5. Step 5: Solve for x
    x = 27,003,691,584/76,840
  6. Step 6: Final answer
    x = 351,427.53

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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.