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Finding the Third Proportional to 78,252 and 163,092

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Solution

The third proportional to 78,252 and 163,092 is: 339,914.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,252 : 163,092 = 163,092 : x
  2. Step 2: Convert to fraction form
    78,252/163,092 = 163,092/x
  3. Step 3: Cross multiply
    78,252x = 163,092 × 163,092
  4. Step 4: Simplify right side
    78,252x = 26,599,000,464
  5. Step 5: Solve for x
    x = 26,599,000,464/78,252
  6. Step 6: Final answer
    x = 339,914.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.