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Finding the Third Proportional to 57,220 and 119,670

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Solution

The third proportional to 57,220 and 119,670 is: 250,278.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,220 : 119,670 = 119,670 : x
  2. Step 2: Convert to fraction form
    57,220/119,670 = 119,670/x
  3. Step 3: Cross multiply
    57,220x = 119,670 × 119,670
  4. Step 4: Simplify right side
    57,220x = 14,320,908,900
  5. Step 5: Solve for x
    x = 14,320,908,900/57,220
  6. Step 6: Final answer
    x = 250,278.03

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.