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Finding the Third Proportional to 130.88 and 257.94

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Solution

The third proportional to 130.88 and 257.94 is: 508.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.88 : 257.94 = 257.94 : x
  2. Step 2: Convert to fraction form
    130.88/257.94 = 257.94/x
  3. Step 3: Cross multiply
    130.88x = 257.94 × 257.94
  4. Step 4: Simplify right side
    130.88x = 66,531.75
  5. Step 5: Solve for x
    x = 66,531.75/130.88
  6. Step 6: Final answer
    x = 508.36

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.