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Finding the Third Proportional to 100,222 and 215,948

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Solution

The third proportional to 100,222 and 215,948 is: 465,302.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,222 : 215,948 = 215,948 : x
  2. Step 2: Convert to fraction form
    100,222/215,948 = 215,948/x
  3. Step 3: Cross multiply
    100,222x = 215,948 × 215,948
  4. Step 4: Simplify right side
    100,222x = 46,633,538,704
  5. Step 5: Solve for x
    x = 46,633,538,704/100,222
  6. Step 6: Final answer
    x = 465,302.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.