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Finding the Third Proportional to 203,616 and 437,328

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Solution

The third proportional to 203,616 and 437,328 is: 939,296.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,616 : 437,328 = 437,328 : x
  2. Step 2: Convert to fraction form
    203,616/437,328 = 437,328/x
  3. Step 3: Cross multiply
    203,616x = 437,328 × 437,328
  4. Step 4: Simplify right side
    203,616x = 191,255,779,584
  5. Step 5: Solve for x
    x = 191,255,779,584/203,616
  6. Step 6: Final answer
    x = 939,296.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.