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Finding the Third Proportional to 12,351 and 27,172.50

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Solution

The third proportional to 12,351 and 27,172.50 is: 59,780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,351 : 27,172.50 = 27,172.50 : x
  2. Step 2: Convert to fraction form
    12,351/27,172.50 = 27,172.50/x
  3. Step 3: Cross multiply
    12,351x = 27,172.50 × 27,172.50
  4. Step 4: Simplify right side
    12,351x = 738,344,756.25
  5. Step 5: Solve for x
    x = 738,344,756.25/12,351
  6. Step 6: Final answer
    x = 59,780.16

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Why These Related Problems?

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