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Finding the Third Proportional to 28,172.25 and 39,384.75

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Solution

The third proportional to 28,172.25 and 39,384.75 is: 55,059.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,172.25 : 39,384.75 = 39,384.75 : x
  2. Step 2: Convert to fraction form
    28,172.25/39,384.75 = 39,384.75/x
  3. Step 3: Cross multiply
    28,172.25x = 39,384.75 × 39,384.75
  4. Step 4: Simplify right side
    28,172.25x = 1,551,158,532.56
  5. Step 5: Solve for x
    x = 1,551,158,532.56/28,172.25
  6. Step 6: Final answer
    x = 55,059.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.