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Finding the Third Proportional to 211,203 and 437,376.50

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Solution

The third proportional to 211,203 and 437,376.50 is: 905,755.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,203 : 437,376.50 = 437,376.50 : x
  2. Step 2: Convert to fraction form
    211,203/437,376.50 = 437,376.50/x
  3. Step 3: Cross multiply
    211,203x = 437,376.50 × 437,376.50
  4. Step 4: Simplify right side
    211,203x = 191,298,202,752.25
  5. Step 5: Solve for x
    x = 191,298,202,752.25/211,203
  6. Step 6: Final answer
    x = 905,755.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.