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Finding the Third Proportional to 126.63 and 272.50

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Solution

The third proportional to 126.63 and 272.50 is: 586.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.63 : 272.50 = 272.50 : x
  2. Step 2: Convert to fraction form
    126.63/272.50 = 272.50/x
  3. Step 3: Cross multiply
    126.63x = 272.50 × 272.50
  4. Step 4: Simplify right side
    126.63x = 74,256.25
  5. Step 5: Solve for x
    x = 74,256.25/126.63
  6. Step 6: Final answer
    x = 586.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.