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Finding the Third Proportional to 91,512.75 and 197,074

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Solution

The third proportional to 91,512.75 and 197,074 is: 424,401.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,512.75 : 197,074 = 197,074 : x
  2. Step 2: Convert to fraction form
    91,512.75/197,074 = 197,074/x
  3. Step 3: Cross multiply
    91,512.75x = 197,074 × 197,074
  4. Step 4: Simplify right side
    91,512.75x = 38,838,161,476
  5. Step 5: Solve for x
    x = 38,838,161,476/91,512.75
  6. Step 6: Final answer
    x = 424,401.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.