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Finding the Third Proportional to 130.36 and 284.77

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Solution

The third proportional to 130.36 and 284.77 is: 622.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.36 : 284.77 = 284.77 : x
  2. Step 2: Convert to fraction form
    130.36/284.77 = 284.77/x
  3. Step 3: Cross multiply
    130.36x = 284.77 × 284.77
  4. Step 4: Simplify right side
    130.36x = 81,091.46
  5. Step 5: Solve for x
    x = 81,091.46/130.36
  6. Step 6: Final answer
    x = 622.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.