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Finding the Third Proportional to 78,508 and 163,657

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Solution

The third proportional to 78,508 and 163,657 is: 341,157.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,508 : 163,657 = 163,657 : x
  2. Step 2: Convert to fraction form
    78,508/163,657 = 163,657/x
  3. Step 3: Cross multiply
    78,508x = 163,657 × 163,657
  4. Step 4: Simplify right side
    78,508x = 26,783,613,649
  5. Step 5: Solve for x
    x = 26,783,613,649/78,508
  6. Step 6: Final answer
    x = 341,157.76

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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.