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Finding the Third Proportional to 103,734 and 211,272

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Solution

The third proportional to 103,734 and 211,272 is: 430,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,734 : 211,272 = 211,272 : x
  2. Step 2: Convert to fraction form
    103,734/211,272 = 211,272/x
  3. Step 3: Cross multiply
    103,734x = 211,272 × 211,272
  4. Step 4: Simplify right side
    103,734x = 44,635,857,984
  5. Step 5: Solve for x
    x = 44,635,857,984/103,734
  6. Step 6: Final answer
    x = 430,291.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.