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Finding the Third Proportional to 100,433 and 218,342

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Solution

The third proportional to 100,433 and 218,342 is: 474,676.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,433 : 218,342 = 218,342 : x
  2. Step 2: Convert to fraction form
    100,433/218,342 = 218,342/x
  3. Step 3: Cross multiply
    100,433x = 218,342 × 218,342
  4. Step 4: Simplify right side
    100,433x = 47,673,228,964
  5. Step 5: Solve for x
    x = 47,673,228,964/100,433
  6. Step 6: Final answer
    x = 474,676.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.