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Finding the Third Proportional to 243.95 and 366.40

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Solution

The third proportional to 243.95 and 366.40 is: 550.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.95 : 366.40 = 366.40 : x
  2. Step 2: Convert to fraction form
    243.95/366.40 = 366.40/x
  3. Step 3: Cross multiply
    243.95x = 366.40 × 366.40
  4. Step 4: Simplify right side
    243.95x = 134,247.82
  5. Step 5: Solve for x
    x = 134,247.82/243.95
  6. Step 6: Final answer
    x = 550.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.