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Finding the Third Proportional to 282.13 and 442.19

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Solution

The third proportional to 282.13 and 442.19 is: 693.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.13 : 442.19 = 442.19 : x
  2. Step 2: Convert to fraction form
    282.13/442.19 = 442.19/x
  3. Step 3: Cross multiply
    282.13x = 442.19 × 442.19
  4. Step 4: Simplify right side
    282.13x = 195,529.79
  5. Step 5: Solve for x
    x = 195,529.79/282.13
  6. Step 6: Final answer
    x = 693.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.