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Finding the Third Proportional to 76,078 and 119,339

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Solution

The third proportional to 76,078 and 119,339 is: 187,199.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,078 : 119,339 = 119,339 : x
  2. Step 2: Convert to fraction form
    76,078/119,339 = 119,339/x
  3. Step 3: Cross multiply
    76,078x = 119,339 × 119,339
  4. Step 4: Simplify right side
    76,078x = 14,241,796,921
  5. Step 5: Solve for x
    x = 14,241,796,921/76,078
  6. Step 6: Final answer
    x = 187,199.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.