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Finding the Third Proportional to 68,236 and 100,403

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Solution

The third proportional to 68,236 and 100,403 is: 147,733.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,236 : 100,403 = 100,403 : x
  2. Step 2: Convert to fraction form
    68,236/100,403 = 100,403/x
  3. Step 3: Cross multiply
    68,236x = 100,403 × 100,403
  4. Step 4: Simplify right side
    68,236x = 10,080,762,409
  5. Step 5: Solve for x
    x = 10,080,762,409/68,236
  6. Step 6: Final answer
    x = 147,733.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.