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Finding the Third Proportional to 77,085 and 164,349

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Solution

The third proportional to 77,085 and 164,349 is: 350,400.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,085 : 164,349 = 164,349 : x
  2. Step 2: Convert to fraction form
    77,085/164,349 = 164,349/x
  3. Step 3: Cross multiply
    77,085x = 164,349 × 164,349
  4. Step 4: Simplify right side
    77,085x = 27,010,593,801
  5. Step 5: Solve for x
    x = 27,010,593,801/77,085
  6. Step 6: Final answer
    x = 350,400.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.