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Finding the Third Proportional to 201,288 and 411,316

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Solution

The third proportional to 201,288 and 411,316 is: 840,491.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,288 : 411,316 = 411,316 : x
  2. Step 2: Convert to fraction form
    201,288/411,316 = 411,316/x
  3. Step 3: Cross multiply
    201,288x = 411,316 × 411,316
  4. Step 4: Simplify right side
    201,288x = 169,180,851,856
  5. Step 5: Solve for x
    x = 169,180,851,856/201,288
  6. Step 6: Final answer
    x = 840,491.49

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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.