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Finding the Third Proportional to 200,729 and 436,126

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Solution

The third proportional to 200,729 and 436,126 is: 947,575.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,729 : 436,126 = 436,126 : x
  2. Step 2: Convert to fraction form
    200,729/436,126 = 436,126/x
  3. Step 3: Cross multiply
    200,729x = 436,126 × 436,126
  4. Step 4: Simplify right side
    200,729x = 190,205,887,876
  5. Step 5: Solve for x
    x = 190,205,887,876/200,729
  6. Step 6: Final answer
    x = 947,575.53

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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.