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Finding the Third Proportional to 6,549 and 10,927.50

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Solution

The third proportional to 6,549 and 10,927.50 is: 18,233.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549 : 10,927.50 = 10,927.50 : x
  2. Step 2: Convert to fraction form
    6,549/10,927.50 = 10,927.50/x
  3. Step 3: Cross multiply
    6,549x = 10,927.50 × 10,927.50
  4. Step 4: Simplify right side
    6,549x = 119,410,256.25
  5. Step 5: Solve for x
    x = 119,410,256.25/6,549
  6. Step 6: Final answer
    x = 18,233.36

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.