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Finding the Third Proportional to 130.64 and 276.05

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Solution

The third proportional to 130.64 and 276.05 is: 583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.64 : 276.05 = 276.05 : x
  2. Step 2: Convert to fraction form
    130.64/276.05 = 276.05/x
  3. Step 3: Cross multiply
    130.64x = 276.05 × 276.05
  4. Step 4: Simplify right side
    130.64x = 76,201.88
  5. Step 5: Solve for x
    x = 76,201.88/130.64
  6. Step 6: Final answer
    x = 583.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.