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Finding the Third Proportional to 290.88 and 436.38

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Solution

The third proportional to 290.88 and 436.38 is: 654.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.88 : 436.38 = 436.38 : x
  2. Step 2: Convert to fraction form
    290.88/436.38 = 436.38/x
  3. Step 3: Cross multiply
    290.88x = 436.38 × 436.38
  4. Step 4: Simplify right side
    290.88x = 190,423.14
  5. Step 5: Solve for x
    x = 190,423.14/290.88
  6. Step 6: Final answer
    x = 654.66

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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.