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Finding the Third Proportional to 254.95 and 344.46

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Solution

The third proportional to 254.95 and 344.46 is: 465.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.95 : 344.46 = 344.46 : x
  2. Step 2: Convert to fraction form
    254.95/344.46 = 344.46/x
  3. Step 3: Cross multiply
    254.95x = 344.46 × 344.46
  4. Step 4: Simplify right side
    254.95x = 118,653.34
  5. Step 5: Solve for x
    x = 118,653.34/254.95
  6. Step 6: Final answer
    x = 465.39

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.