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Finding the Third Proportional to 35,908 and 78,344

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Solution

The third proportional to 35,908 and 78,344 is: 170,930.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,908 : 78,344 = 78,344 : x
  2. Step 2: Convert to fraction form
    35,908/78,344 = 78,344/x
  3. Step 3: Cross multiply
    35,908x = 78,344 × 78,344
  4. Step 4: Simplify right side
    35,908x = 6,137,782,336
  5. Step 5: Solve for x
    x = 6,137,782,336/35,908
  6. Step 6: Final answer
    x = 170,930.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.