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Finding the Third Proportional to 211,852 and 438,369

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Solution

The third proportional to 211,852 and 438,369 is: 907,083.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,852 : 438,369 = 438,369 : x
  2. Step 2: Convert to fraction form
    211,852/438,369 = 438,369/x
  3. Step 3: Cross multiply
    211,852x = 438,369 × 438,369
  4. Step 4: Simplify right side
    211,852x = 192,167,380,161
  5. Step 5: Solve for x
    x = 192,167,380,161/211,852
  6. Step 6: Final answer
    x = 907,083.15

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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.