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Finding the Third Proportional to 130.78 and 244.69

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Solution

The third proportional to 130.78 and 244.69 is: 457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.78 : 244.69 = 244.69 : x
  2. Step 2: Convert to fraction form
    130.78/244.69 = 244.69/x
  3. Step 3: Cross multiply
    130.78x = 244.69 × 244.69
  4. Step 4: Simplify right side
    130.78x = 59,871.97
  5. Step 5: Solve for x
    x = 59,871.97/130.78
  6. Step 6: Final answer
    x = 457.80

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.