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Finding the Third Proportional to 282.84 and 435.28

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Solution

The third proportional to 282.84 and 435.28 is: 669.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.84 : 435.28 = 435.28 : x
  2. Step 2: Convert to fraction form
    282.84/435.28 = 435.28/x
  3. Step 3: Cross multiply
    282.84x = 435.28 × 435.28
  4. Step 4: Simplify right side
    282.84x = 189,469.77
  5. Step 5: Solve for x
    x = 189,469.77/282.84
  6. Step 6: Final answer
    x = 669.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.