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Finding the Third Proportional to 3,076.52 and 6,749.05

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Solution

The third proportional to 3,076.52 and 6,749.05 is: 14,805.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.52 : 6,749.05 = 6,749.05 : x
  2. Step 2: Convert to fraction form
    3,076.52/6,749.05 = 6,749.05/x
  3. Step 3: Cross multiply
    3,076.52x = 6,749.05 × 6,749.05
  4. Step 4: Simplify right side
    3,076.52x = 45,549,686.45
  5. Step 5: Solve for x
    x = 45,549,686.45/3,076.52
  6. Step 6: Final answer
    x = 14,805.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.