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Finding the Third Proportional to 215,815 and 470,975

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Solution

The third proportional to 215,815 and 470,975 is: 1,027,812.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,815 : 470,975 = 470,975 : x
  2. Step 2: Convert to fraction form
    215,815/470,975 = 470,975/x
  3. Step 3: Cross multiply
    215,815x = 470,975 × 470,975
  4. Step 4: Simplify right side
    215,815x = 221,817,450,625
  5. Step 5: Solve for x
    x = 221,817,450,625/215,815
  6. Step 6: Final answer
    x = 1,027,812.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.