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Finding the Third Proportional to 76,853 and 120,297

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Solution

The third proportional to 76,853 and 120,297 is: 188,299.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,853 : 120,297 = 120,297 : x
  2. Step 2: Convert to fraction form
    76,853/120,297 = 120,297/x
  3. Step 3: Cross multiply
    76,853x = 120,297 × 120,297
  4. Step 4: Simplify right side
    76,853x = 14,471,368,209
  5. Step 5: Solve for x
    x = 14,471,368,209/76,853
  6. Step 6: Final answer
    x = 188,299.33

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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.