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Finding the Third Proportional to 100,343 and 219,343

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Solution

The third proportional to 100,343 and 219,343 is: 479,468.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,343 : 219,343 = 219,343 : x
  2. Step 2: Convert to fraction form
    100,343/219,343 = 219,343/x
  3. Step 3: Cross multiply
    100,343x = 219,343 × 219,343
  4. Step 4: Simplify right side
    100,343x = 48,111,351,649
  5. Step 5: Solve for x
    x = 48,111,351,649/100,343
  6. Step 6: Final answer
    x = 479,468.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.