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Finding the Third Proportional to 100,637 and 213,262

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Solution

The third proportional to 100,637 and 213,262 is: 451,928.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,637 : 213,262 = 213,262 : x
  2. Step 2: Convert to fraction form
    100,637/213,262 = 213,262/x
  3. Step 3: Cross multiply
    100,637x = 213,262 × 213,262
  4. Step 4: Simplify right side
    100,637x = 45,480,680,644
  5. Step 5: Solve for x
    x = 45,480,680,644/100,637
  6. Step 6: Final answer
    x = 451,928.02

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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.