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Finding the Third Proportional to 130.78 and 285.84

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Solution

The third proportional to 130.78 and 285.84 is: 624.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.78 : 285.84 = 285.84 : x
  2. Step 2: Convert to fraction form
    130.78/285.84 = 285.84/x
  3. Step 3: Cross multiply
    130.78x = 285.84 × 285.84
  4. Step 4: Simplify right side
    130.78x = 81,706.65
  5. Step 5: Solve for x
    x = 81,706.65/130.78
  6. Step 6: Final answer
    x = 624.76

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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.