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Finding the Third Proportional to 39,990 and 92,578

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Solution

The third proportional to 39,990 and 92,578 is: 214,320.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,990 : 92,578 = 92,578 : x
  2. Step 2: Convert to fraction form
    39,990/92,578 = 92,578/x
  3. Step 3: Cross multiply
    39,990x = 92,578 × 92,578
  4. Step 4: Simplify right side
    39,990x = 8,570,686,084
  5. Step 5: Solve for x
    x = 8,570,686,084/39,990
  6. Step 6: Final answer
    x = 214,320.73

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.