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Finding the Third Proportional to 201,308 and 411,352

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Solution

The third proportional to 201,308 and 411,352 is: 840,555.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,308 : 411,352 = 411,352 : x
  2. Step 2: Convert to fraction form
    201,308/411,352 = 411,352/x
  3. Step 3: Cross multiply
    201,308x = 411,352 × 411,352
  4. Step 4: Simplify right side
    201,308x = 169,210,467,904
  5. Step 5: Solve for x
    x = 169,210,467,904/201,308
  6. Step 6: Final answer
    x = 840,555.11

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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.