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Finding the Third Proportional to 99,420 and 150,578

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Solution

The third proportional to 99,420 and 150,578 is: 228,060.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,420 : 150,578 = 150,578 : x
  2. Step 2: Convert to fraction form
    99,420/150,578 = 150,578/x
  3. Step 3: Cross multiply
    99,420x = 150,578 × 150,578
  4. Step 4: Simplify right side
    99,420x = 22,673,734,084
  5. Step 5: Solve for x
    x = 22,673,734,084/99,420
  6. Step 6: Final answer
    x = 228,060.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.