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Finding the Third Proportional to 78,403 and 169,381

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Solution

The third proportional to 78,403 and 169,381 is: 365,928.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,403 : 169,381 = 169,381 : x
  2. Step 2: Convert to fraction form
    78,403/169,381 = 169,381/x
  3. Step 3: Cross multiply
    78,403x = 169,381 × 169,381
  4. Step 4: Simplify right side
    78,403x = 28,689,923,161
  5. Step 5: Solve for x
    x = 28,689,923,161/78,403
  6. Step 6: Final answer
    x = 365,928.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.