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Finding the Third Proportional to 285.56 and 471.94

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Solution

The third proportional to 285.56 and 471.94 is: 779.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.56 : 471.94 = 471.94 : x
  2. Step 2: Convert to fraction form
    285.56/471.94 = 471.94/x
  3. Step 3: Cross multiply
    285.56x = 471.94 × 471.94
  4. Step 4: Simplify right side
    285.56x = 222,725.00
  5. Step 5: Solve for x
    x = 222,725.00/285.56
  6. Step 6: Final answer
    x = 779.95

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.