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Finding the Third Proportional to 57,100 and 120,355

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Solution

The third proportional to 57,100 and 120,355 is: 253,683.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,100 : 120,355 = 120,355 : x
  2. Step 2: Convert to fraction form
    57,100/120,355 = 120,355/x
  3. Step 3: Cross multiply
    57,100x = 120,355 × 120,355
  4. Step 4: Simplify right side
    57,100x = 14,485,326,025
  5. Step 5: Solve for x
    x = 14,485,326,025/57,100
  6. Step 6: Final answer
    x = 253,683.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.