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Finding the Third Proportional to 200,697 and 421,095.75

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Solution

The third proportional to 200,697 and 421,095.75 is: 883,529.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,697 : 421,095.75 = 421,095.75 : x
  2. Step 2: Convert to fraction form
    200,697/421,095.75 = 421,095.75/x
  3. Step 3: Cross multiply
    200,697x = 421,095.75 × 421,095.75
  4. Step 4: Simplify right side
    200,697x = 177,321,630,668.06
  5. Step 5: Solve for x
    x = 177,321,630,668.06/200,697
  6. Step 6: Final answer
    x = 883,529.05

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.