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Finding the Third Proportional to 200,808 and 436,617

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Solution

The third proportional to 200,808 and 436,617 is: 949,336.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,808 : 436,617 = 436,617 : x
  2. Step 2: Convert to fraction form
    200,808/436,617 = 436,617/x
  3. Step 3: Cross multiply
    200,808x = 436,617 × 436,617
  4. Step 4: Simplify right side
    200,808x = 190,634,404,689
  5. Step 5: Solve for x
    x = 190,634,404,689/200,808
  6. Step 6: Final answer
    x = 949,336.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.