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Finding the Third Proportional to 285.75 and 465.05

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Solution

The third proportional to 285.75 and 465.05 is: 756.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.75 : 465.05 = 465.05 : x
  2. Step 2: Convert to fraction form
    285.75/465.05 = 465.05/x
  3. Step 3: Cross multiply
    285.75x = 465.05 × 465.05
  4. Step 4: Simplify right side
    285.75x = 216,268.60
  5. Step 5: Solve for x
    x = 216,268.60/285.75
  6. Step 6: Final answer
    x = 756.85

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.