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Finding the Third Proportional to 73,034 and 104,367

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Solution

The third proportional to 73,034 and 104,367 is: 149,142.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,034 : 104,367 = 104,367 : x
  2. Step 2: Convert to fraction form
    73,034/104,367 = 104,367/x
  3. Step 3: Cross multiply
    73,034x = 104,367 × 104,367
  4. Step 4: Simplify right side
    73,034x = 10,892,470,689
  5. Step 5: Solve for x
    x = 10,892,470,689/73,034
  6. Step 6: Final answer
    x = 149,142.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.