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Finding the Third Proportional to 130.83 and 284.37

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Solution

The third proportional to 130.83 and 284.37 is: 618.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.83 : 284.37 = 284.37 : x
  2. Step 2: Convert to fraction form
    130.83/284.37 = 284.37/x
  3. Step 3: Cross multiply
    130.83x = 284.37 × 284.37
  4. Step 4: Simplify right side
    130.83x = 80,866.36
  5. Step 5: Solve for x
    x = 80,866.36/130.83
  6. Step 6: Final answer
    x = 618.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.