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Finding the Third Proportional to 56,414 and 120,205

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Solution

The third proportional to 56,414 and 120,205 is: 256,128.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,414 : 120,205 = 120,205 : x
  2. Step 2: Convert to fraction form
    56,414/120,205 = 120,205/x
  3. Step 3: Cross multiply
    56,414x = 120,205 × 120,205
  4. Step 4: Simplify right side
    56,414x = 14,449,242,025
  5. Step 5: Solve for x
    x = 14,449,242,025/56,414
  6. Step 6: Final answer
    x = 256,128.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.