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Finding the Third Proportional to 40,697 and 84,512

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Solution

The third proportional to 40,697 and 84,512 is: 175,498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,697 : 84,512 = 84,512 : x
  2. Step 2: Convert to fraction form
    40,697/84,512 = 84,512/x
  3. Step 3: Cross multiply
    40,697x = 84,512 × 84,512
  4. Step 4: Simplify right side
    40,697x = 7,142,278,144
  5. Step 5: Solve for x
    x = 7,142,278,144/40,697
  6. Step 6: Final answer
    x = 175,498.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.