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Finding the Third Proportional to 73,099 and 159,420

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Solution

The third proportional to 73,099 and 159,420 is: 347,675.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,099 : 159,420 = 159,420 : x
  2. Step 2: Convert to fraction form
    73,099/159,420 = 159,420/x
  3. Step 3: Cross multiply
    73,099x = 159,420 × 159,420
  4. Step 4: Simplify right side
    73,099x = 25,414,736,400
  5. Step 5: Solve for x
    x = 25,414,736,400/73,099
  6. Step 6: Final answer
    x = 347,675.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.