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Finding the Third Proportional to 217,927 and 300,106

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Solution

The third proportional to 217,927 and 300,106 is: 413,274.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,927 : 300,106 = 300,106 : x
  2. Step 2: Convert to fraction form
    217,927/300,106 = 300,106/x
  3. Step 3: Cross multiply
    217,927x = 300,106 × 300,106
  4. Step 4: Simplify right side
    217,927x = 90,063,611,236
  5. Step 5: Solve for x
    x = 90,063,611,236/217,927
  6. Step 6: Final answer
    x = 413,274.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.