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Finding the Third Proportional to 218,100 and 470,670

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Solution

The third proportional to 218,100 and 470,670 is: 1,015,727.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,100 : 470,670 = 470,670 : x
  2. Step 2: Convert to fraction form
    218,100/470,670 = 470,670/x
  3. Step 3: Cross multiply
    218,100x = 470,670 × 470,670
  4. Step 4: Simplify right side
    218,100x = 221,530,248,900
  5. Step 5: Solve for x
    x = 221,530,248,900/218,100
  6. Step 6: Final answer
    x = 1,015,727.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.