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Finding the Third Proportional to 35,716 and 68,191

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Solution

The third proportional to 35,716 and 68,191 is: 130,194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,716 : 68,191 = 68,191 : x
  2. Step 2: Convert to fraction form
    35,716/68,191 = 68,191/x
  3. Step 3: Cross multiply
    35,716x = 68,191 × 68,191
  4. Step 4: Simplify right side
    35,716x = 4,650,012,481
  5. Step 5: Solve for x
    x = 4,650,012,481/35,716
  6. Step 6: Final answer
    x = 130,194.10

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.