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Finding the Third Proportional to 13,532.50 and 31,328

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Solution

The third proportional to 13,532.50 and 31,328 is: 72,524.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532.50 : 31,328 = 31,328 : x
  2. Step 2: Convert to fraction form
    13,532.50/31,328 = 31,328/x
  3. Step 3: Cross multiply
    13,532.50x = 31,328 × 31,328
  4. Step 4: Simplify right side
    13,532.50x = 981,443,584
  5. Step 5: Solve for x
    x = 981,443,584/13,532.50
  6. Step 6: Final answer
    x = 72,524.93

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.