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Finding the Third Proportional to 111,193 and 163,848.50

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Solution

The third proportional to 111,193 and 163,848.50 is: 241,439.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,193 : 163,848.50 = 163,848.50 : x
  2. Step 2: Convert to fraction form
    111,193/163,848.50 = 163,848.50/x
  3. Step 3: Cross multiply
    111,193x = 163,848.50 × 163,848.50
  4. Step 4: Simplify right side
    111,193x = 26,846,330,952.25
  5. Step 5: Solve for x
    x = 26,846,330,952.25/111,193
  6. Step 6: Final answer
    x = 241,439.04

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.