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Finding the Third Proportional to 218,857 and 470,408.25

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Solution

The third proportional to 218,857 and 470,408.25 is: 1,011,089.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,857 : 470,408.25 = 470,408.25 : x
  2. Step 2: Convert to fraction form
    218,857/470,408.25 = 470,408.25/x
  3. Step 3: Cross multiply
    218,857x = 470,408.25 × 470,408.25
  4. Step 4: Simplify right side
    218,857x = 221,283,921,668.06
  5. Step 5: Solve for x
    x = 221,283,921,668.06/218,857
  6. Step 6: Final answer
    x = 1,011,089.07

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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.