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Finding the Third Proportional to 435.80 and 609.54

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Solution

The third proportional to 435.80 and 609.54 is: 852.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.80 : 609.54 = 609.54 : x
  2. Step 2: Convert to fraction form
    435.80/609.54 = 609.54/x
  3. Step 3: Cross multiply
    435.80x = 609.54 × 609.54
  4. Step 4: Simplify right side
    435.80x = 371,537.87
  5. Step 5: Solve for x
    x = 371,537.87/435.80
  6. Step 6: Final answer
    x = 852.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.