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Finding the Third Proportional to 100,913 and 214,126

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Solution

The third proportional to 100,913 and 214,126 is: 454,351.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,913 : 214,126 = 214,126 : x
  2. Step 2: Convert to fraction form
    100,913/214,126 = 214,126/x
  3. Step 3: Cross multiply
    100,913x = 214,126 × 214,126
  4. Step 4: Simplify right side
    100,913x = 45,849,943,876
  5. Step 5: Solve for x
    x = 45,849,943,876/100,913
  6. Step 6: Final answer
    x = 454,351.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.