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Finding the Third Proportional to 85,156.31 and 122,198.63

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Solution

The third proportional to 85,156.31 and 122,198.63 is: 175,354.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,156.31 : 122,198.63 = 122,198.63 : x
  2. Step 2: Convert to fraction form
    85,156.31/122,198.63 = 122,198.63/x
  3. Step 3: Cross multiply
    85,156.31x = 122,198.63 × 122,198.63
  4. Step 4: Simplify right side
    85,156.31x = 14,932,503,951.89
  5. Step 5: Solve for x
    x = 14,932,503,951.89/85,156.31
  6. Step 6: Final answer
    x = 175,354.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.