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Finding the Third Proportional to 201,272.50 and 411,284

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Solution

The third proportional to 201,272.50 and 411,284 is: 840,425.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,272.50 : 411,284 = 411,284 : x
  2. Step 2: Convert to fraction form
    201,272.50/411,284 = 411,284/x
  3. Step 3: Cross multiply
    201,272.50x = 411,284 × 411,284
  4. Step 4: Simplify right side
    201,272.50x = 169,154,528,656
  5. Step 5: Solve for x
    x = 169,154,528,656/201,272.50
  6. Step 6: Final answer
    x = 840,425.44

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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.