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Finding the Third Proportional to 282.21 and 543.07

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Solution

The third proportional to 282.21 and 543.07 is: 1,045.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.21 : 543.07 = 543.07 : x
  2. Step 2: Convert to fraction form
    282.21/543.07 = 543.07/x
  3. Step 3: Cross multiply
    282.21x = 543.07 × 543.07
  4. Step 4: Simplify right side
    282.21x = 294,926.96
  5. Step 5: Solve for x
    x = 294,926.96/282.21
  6. Step 6: Final answer
    x = 1,045.04

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.