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Finding the Third Proportional to 78,534 and 163,692

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Solution

The third proportional to 78,534 and 163,692 is: 341,190.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,534 : 163,692 = 163,692 : x
  2. Step 2: Convert to fraction form
    78,534/163,692 = 163,692/x
  3. Step 3: Cross multiply
    78,534x = 163,692 × 163,692
  4. Step 4: Simplify right side
    78,534x = 26,795,070,864
  5. Step 5: Solve for x
    x = 26,795,070,864/78,534
  6. Step 6: Final answer
    x = 341,190.71

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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.