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Finding the Third Proportional to 201,282 and 411,303

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Solution

The third proportional to 201,282 and 411,303 is: 840,463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,282 : 411,303 = 411,303 : x
  2. Step 2: Convert to fraction form
    201,282/411,303 = 411,303/x
  3. Step 3: Cross multiply
    201,282x = 411,303 × 411,303
  4. Step 4: Simplify right side
    201,282x = 169,170,157,809
  5. Step 5: Solve for x
    x = 169,170,157,809/201,282
  6. Step 6: Final answer
    x = 840,463.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.