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Finding the Third Proportional to 56,351 and 84,345

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Solution

The third proportional to 56,351 and 84,345 is: 126,245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,351 : 84,345 = 84,345 : x
  2. Step 2: Convert to fraction form
    56,351/84,345 = 84,345/x
  3. Step 3: Cross multiply
    56,351x = 84,345 × 84,345
  4. Step 4: Simplify right side
    56,351x = 7,114,079,025
  5. Step 5: Solve for x
    x = 7,114,079,025/56,351
  6. Step 6: Final answer
    x = 126,245.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.