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Finding the Third Proportional to 125.77 and 274.32

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Solution

The third proportional to 125.77 and 274.32 is: 598.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.77 : 274.32 = 274.32 : x
  2. Step 2: Convert to fraction form
    125.77/274.32 = 274.32/x
  3. Step 3: Cross multiply
    125.77x = 274.32 × 274.32
  4. Step 4: Simplify right side
    125.77x = 75,253.78
  5. Step 5: Solve for x
    x = 75,253.78/125.77
  6. Step 6: Final answer
    x = 598.34

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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.