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Finding the Third Proportional to 76,602 and 162,036

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Solution

The third proportional to 76,602 and 162,036 is: 342,754.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,602 : 162,036 = 162,036 : x
  2. Step 2: Convert to fraction form
    76,602/162,036 = 162,036/x
  3. Step 3: Cross multiply
    76,602x = 162,036 × 162,036
  4. Step 4: Simplify right side
    76,602x = 26,255,665,296
  5. Step 5: Solve for x
    x = 26,255,665,296/76,602
  6. Step 6: Final answer
    x = 342,754.31

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.