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Finding the Third Proportional to 132.63 and 284.31

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Solution

The third proportional to 132.63 and 284.31 is: 609.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.63 : 284.31 = 284.31 : x
  2. Step 2: Convert to fraction form
    132.63/284.31 = 284.31/x
  3. Step 3: Cross multiply
    132.63x = 284.31 × 284.31
  4. Step 4: Simplify right side
    132.63x = 80,833.60
  5. Step 5: Solve for x
    x = 80,833.60/132.63
  6. Step 6: Final answer
    x = 609.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.