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Finding the Third Proportional to 85,520 and 197,956.75

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Solution

The third proportional to 85,520 and 197,956.75 is: 458,218.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,520 : 197,956.75 = 197,956.75 : x
  2. Step 2: Convert to fraction form
    85,520/197,956.75 = 197,956.75/x
  3. Step 3: Cross multiply
    85,520x = 197,956.75 × 197,956.75
  4. Step 4: Simplify right side
    85,520x = 39,186,874,870.56
  5. Step 5: Solve for x
    x = 39,186,874,870.56/85,520
  6. Step 6: Final answer
    x = 458,218.84

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.