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Finding the Third Proportional to 76,412 and 103,197

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Solution

The third proportional to 76,412 and 103,197 is: 139,371.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,412 : 103,197 = 103,197 : x
  2. Step 2: Convert to fraction form
    76,412/103,197 = 103,197/x
  3. Step 3: Cross multiply
    76,412x = 103,197 × 103,197
  4. Step 4: Simplify right side
    76,412x = 10,649,620,809
  5. Step 5: Solve for x
    x = 10,649,620,809/76,412
  6. Step 6: Final answer
    x = 139,371.05

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.