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Finding the Third Proportional to 10,179 and 15,172.50

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Solution

The third proportional to 10,179 and 15,172.50 is: 22,615.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,179 : 15,172.50 = 15,172.50 : x
  2. Step 2: Convert to fraction form
    10,179/15,172.50 = 15,172.50/x
  3. Step 3: Cross multiply
    10,179x = 15,172.50 × 15,172.50
  4. Step 4: Simplify right side
    10,179x = 230,204,756.25
  5. Step 5: Solve for x
    x = 230,204,756.25/10,179
  6. Step 6: Final answer
    x = 22,615.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.