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Finding the Third Proportional to 73,024 and 104,352

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Solution

The third proportional to 73,024 and 104,352 is: 149,120.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,024 : 104,352 = 104,352 : x
  2. Step 2: Convert to fraction form
    73,024/104,352 = 104,352/x
  3. Step 3: Cross multiply
    73,024x = 104,352 × 104,352
  4. Step 4: Simplify right side
    73,024x = 10,889,339,904
  5. Step 5: Solve for x
    x = 10,889,339,904/73,024
  6. Step 6: Final answer
    x = 149,120.01

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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.