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Finding the Third Proportional to 290.54 and 448.62

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Solution

The third proportional to 290.54 and 448.62 is: 692.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.54 : 448.62 = 448.62 : x
  2. Step 2: Convert to fraction form
    290.54/448.62 = 448.62/x
  3. Step 3: Cross multiply
    290.54x = 448.62 × 448.62
  4. Step 4: Simplify right side
    290.54x = 201,263.95
  5. Step 5: Solve for x
    x = 201,263.95/290.54
  6. Step 6: Final answer
    x = 692.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.