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Finding the Third Proportional to 79,983 and 171,602

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Solution

The third proportional to 79,983 and 171,602 is: 368,168.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,983 : 171,602 = 171,602 : x
  2. Step 2: Convert to fraction form
    79,983/171,602 = 171,602/x
  3. Step 3: Cross multiply
    79,983x = 171,602 × 171,602
  4. Step 4: Simplify right side
    79,983x = 29,447,246,404
  5. Step 5: Solve for x
    x = 29,447,246,404/79,983
  6. Step 6: Final answer
    x = 368,168.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.