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Finding the Third Proportional to 32,436 and 71,251.50

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Solution

The third proportional to 32,436 and 71,251.50 is: 156,516.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,436 : 71,251.50 = 71,251.50 : x
  2. Step 2: Convert to fraction form
    32,436/71,251.50 = 71,251.50/x
  3. Step 3: Cross multiply
    32,436x = 71,251.50 × 71,251.50
  4. Step 4: Simplify right side
    32,436x = 5,076,776,252.25
  5. Step 5: Solve for x
    x = 5,076,776,252.25/32,436
  6. Step 6: Final answer
    x = 156,516.72

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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.