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Finding the Third Proportional to 211,798 and 296,242

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Solution

The third proportional to 211,798 and 296,242 is: 414,353.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,798 : 296,242 = 296,242 : x
  2. Step 2: Convert to fraction form
    211,798/296,242 = 296,242/x
  3. Step 3: Cross multiply
    211,798x = 296,242 × 296,242
  4. Step 4: Simplify right side
    211,798x = 87,759,322,564
  5. Step 5: Solve for x
    x = 87,759,322,564/211,798
  6. Step 6: Final answer
    x = 414,353.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.