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Finding the Third Proportional to 282.23 and 446.77

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Solution

The third proportional to 282.23 and 446.77 is: 707.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.23 : 446.77 = 446.77 : x
  2. Step 2: Convert to fraction form
    282.23/446.77 = 446.77/x
  3. Step 3: Cross multiply
    282.23x = 446.77 × 446.77
  4. Step 4: Simplify right side
    282.23x = 199,599.52
  5. Step 5: Solve for x
    x = 199,599.52/282.23
  6. Step 6: Final answer
    x = 707.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.