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Finding the Third Proportional to 92,400.75 and 202,479.75

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Solution

The third proportional to 92,400.75 and 202,479.75 is: 443,698.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,400.75 : 202,479.75 = 202,479.75 : x
  2. Step 2: Convert to fraction form
    92,400.75/202,479.75 = 202,479.75/x
  3. Step 3: Cross multiply
    92,400.75x = 202,479.75 × 202,479.75
  4. Step 4: Simplify right side
    92,400.75x = 40,998,049,160.06
  5. Step 5: Solve for x
    x = 40,998,049,160.06/92,400.75
  6. Step 6: Final answer
    x = 443,698.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.