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Finding the Third Proportional to 56,147 and 121,199

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Solution

The third proportional to 56,147 and 121,199 is: 261,620.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,147 : 121,199 = 121,199 : x
  2. Step 2: Convert to fraction form
    56,147/121,199 = 121,199/x
  3. Step 3: Cross multiply
    56,147x = 121,199 × 121,199
  4. Step 4: Simplify right side
    56,147x = 14,689,197,601
  5. Step 5: Solve for x
    x = 14,689,197,601/56,147
  6. Step 6: Final answer
    x = 261,620.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.