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Finding the Third Proportional to 32,254 and 71,054

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Solution

The third proportional to 32,254 and 71,054 is: 156,528.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,254 : 71,054 = 71,054 : x
  2. Step 2: Convert to fraction form
    32,254/71,054 = 71,054/x
  3. Step 3: Cross multiply
    32,254x = 71,054 × 71,054
  4. Step 4: Simplify right side
    32,254x = 5,048,670,916
  5. Step 5: Solve for x
    x = 5,048,670,916/32,254
  6. Step 6: Final answer
    x = 156,528.52

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.