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Finding the Third Proportional to 201,272 and 411,283

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Solution

The third proportional to 201,272 and 411,283 is: 840,423.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,272 : 411,283 = 411,283 : x
  2. Step 2: Convert to fraction form
    201,272/411,283 = 411,283/x
  3. Step 3: Cross multiply
    201,272x = 411,283 × 411,283
  4. Step 4: Simplify right side
    201,272x = 169,153,706,089
  5. Step 5: Solve for x
    x = 169,153,706,089/201,272
  6. Step 6: Final answer
    x = 840,423.44

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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.