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Finding the Third Proportional to 6,647.20 and 10,291.36

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Solution

The third proportional to 6,647.20 and 10,291.36 is: 15,933.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.20 : 10,291.36 = 10,291.36 : x
  2. Step 2: Convert to fraction form
    6,647.20/10,291.36 = 10,291.36/x
  3. Step 3: Cross multiply
    6,647.20x = 10,291.36 × 10,291.36
  4. Step 4: Simplify right side
    6,647.20x = 105,912,077.79
  5. Step 5: Solve for x
    x = 105,912,077.79/6,647.20
  6. Step 6: Final answer
    x = 15,933.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.