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Finding the Third Proportional to 130.25 and 276.63

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Solution

The third proportional to 130.25 and 276.63 is: 587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.25 : 276.63 = 276.63 : x
  2. Step 2: Convert to fraction form
    130.25/276.63 = 276.63/x
  3. Step 3: Cross multiply
    130.25x = 276.63 × 276.63
  4. Step 4: Simplify right side
    130.25x = 76,521.39
  5. Step 5: Solve for x
    x = 76,521.39/130.25
  6. Step 6: Final answer
    x = 587.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.