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Finding the Third Proportional to 78,032 and 169,349

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Solution

The third proportional to 78,032 and 169,349 is: 367,529.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,032 : 169,349 = 169,349 : x
  2. Step 2: Convert to fraction form
    78,032/169,349 = 169,349/x
  3. Step 3: Cross multiply
    78,032x = 169,349 × 169,349
  4. Step 4: Simplify right side
    78,032x = 28,679,083,801
  5. Step 5: Solve for x
    x = 28,679,083,801/78,032
  6. Step 6: Final answer
    x = 367,529.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.