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Finding the Third Proportional to 218,867 and 470,427

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Solution

The third proportional to 218,867 and 470,427 is: 1,011,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,867 : 470,427 = 470,427 : x
  2. Step 2: Convert to fraction form
    218,867/470,427 = 470,427/x
  3. Step 3: Cross multiply
    218,867x = 470,427 × 470,427
  4. Step 4: Simplify right side
    218,867x = 221,301,562,329
  5. Step 5: Solve for x
    x = 221,301,562,329/218,867
  6. Step 6: Final answer
    x = 1,011,123.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.