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Finding the Third Proportional to 103,743 and 211,287

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Solution

The third proportional to 103,743 and 211,287 is: 430,315.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,743 : 211,287 = 211,287 : x
  2. Step 2: Convert to fraction form
    103,743/211,287 = 211,287/x
  3. Step 3: Cross multiply
    103,743x = 211,287 × 211,287
  4. Step 4: Simplify right side
    103,743x = 44,642,196,369
  5. Step 5: Solve for x
    x = 44,642,196,369/103,743
  6. Step 6: Final answer
    x = 430,315.26

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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.