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Finding the Third Proportional to 285.29 and 436.59

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Solution

The third proportional to 285.29 and 436.59 is: 668.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.29 : 436.59 = 436.59 : x
  2. Step 2: Convert to fraction form
    285.29/436.59 = 436.59/x
  3. Step 3: Cross multiply
    285.29x = 436.59 × 436.59
  4. Step 4: Simplify right side
    285.29x = 190,608.99
  5. Step 5: Solve for x
    x = 190,608.99/285.29
  6. Step 6: Final answer
    x = 668.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.