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Finding the Third Proportional to 129.63 and 280.63

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Solution

The third proportional to 129.63 and 280.63 is: 607.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.63 : 280.63 = 280.63 : x
  2. Step 2: Convert to fraction form
    129.63/280.63 = 280.63/x
  3. Step 3: Cross multiply
    129.63x = 280.63 × 280.63
  4. Step 4: Simplify right side
    129.63x = 78,750.39
  5. Step 5: Solve for x
    x = 78,750.39/129.63
  6. Step 6: Final answer
    x = 607.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.