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Finding the Third Proportional to 74.50 and 126.50

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Solution

The third proportional to 74.50 and 126.50 is: 214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.50 : 126.50 = 126.50 : x
  2. Step 2: Convert to fraction form
    74.50/126.50 = 126.50/x
  3. Step 3: Cross multiply
    74.50x = 126.50 × 126.50
  4. Step 4: Simplify right side
    74.50x = 16,002.25
  5. Step 5: Solve for x
    x = 16,002.25/74.50
  6. Step 6: Final answer
    x = 214.80

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.