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Finding the Third Proportional to 37,921 and 81,656

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Solution

The third proportional to 37,921 and 81,656 is: 175,831.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,921 : 81,656 = 81,656 : x
  2. Step 2: Convert to fraction form
    37,921/81,656 = 81,656/x
  3. Step 3: Cross multiply
    37,921x = 81,656 × 81,656
  4. Step 4: Simplify right side
    37,921x = 6,667,702,336
  5. Step 5: Solve for x
    x = 6,667,702,336/37,921
  6. Step 6: Final answer
    x = 175,831.40

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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.