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Finding the Third Proportional to 268.95 and 417.34

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Solution

The third proportional to 268.95 and 417.34 is: 647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.95 : 417.34 = 417.34 : x
  2. Step 2: Convert to fraction form
    268.95/417.34 = 417.34/x
  3. Step 3: Cross multiply
    268.95x = 417.34 × 417.34
  4. Step 4: Simplify right side
    268.95x = 174,172.55
  5. Step 5: Solve for x
    x = 174,172.55/268.95
  6. Step 6: Final answer
    x = 647.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.