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Finding the Third Proportional to 76,339 and 115,344

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Solution

The third proportional to 76,339 and 115,344 is: 174,278.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,339 : 115,344 = 115,344 : x
  2. Step 2: Convert to fraction form
    76,339/115,344 = 115,344/x
  3. Step 3: Cross multiply
    76,339x = 115,344 × 115,344
  4. Step 4: Simplify right side
    76,339x = 13,304,238,336
  5. Step 5: Solve for x
    x = 13,304,238,336/76,339
  6. Step 6: Final answer
    x = 174,278.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.