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Finding the Third Proportional to 130.78 and 203.19

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Solution

The third proportional to 130.78 and 203.19 is: 315.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.78 : 203.19 = 203.19 : x
  2. Step 2: Convert to fraction form
    130.78/203.19 = 203.19/x
  3. Step 3: Cross multiply
    130.78x = 203.19 × 203.19
  4. Step 4: Simplify right side
    130.78x = 41,285.16
  5. Step 5: Solve for x
    x = 41,285.16/130.78
  6. Step 6: Final answer
    x = 315.68

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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.