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Finding the Third Proportional to 218,238.75 and 470,882.25

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Solution

The third proportional to 218,238.75 and 470,882.25 is: 1,015,997.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,238.75 : 470,882.25 = 470,882.25 : x
  2. Step 2: Convert to fraction form
    218,238.75/470,882.25 = 470,882.25/x
  3. Step 3: Cross multiply
    218,238.75x = 470,882.25 × 470,882.25
  4. Step 4: Simplify right side
    218,238.75x = 221,730,093,365.06
  5. Step 5: Solve for x
    x = 221,730,093,365.06/218,238.75
  6. Step 6: Final answer
    x = 1,015,997.82

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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.