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Finding the Third Proportional to 290.46 and 685.02

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Solution

The third proportional to 290.46 and 685.02 is: 1,615.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.46 : 685.02 = 685.02 : x
  2. Step 2: Convert to fraction form
    290.46/685.02 = 685.02/x
  3. Step 3: Cross multiply
    290.46x = 685.02 × 685.02
  4. Step 4: Simplify right side
    290.46x = 469,251.76
  5. Step 5: Solve for x
    x = 469,251.76/290.46
  6. Step 6: Final answer
    x = 1,615.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.