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Finding the Third Proportional to 3,582.84 and 5,428.36

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Solution

The third proportional to 3,582.84 and 5,428.36 is: 8,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.84 : 5,428.36 = 5,428.36 : x
  2. Step 2: Convert to fraction form
    3,582.84/5,428.36 = 5,428.36/x
  3. Step 3: Cross multiply
    3,582.84x = 5,428.36 × 5,428.36
  4. Step 4: Simplify right side
    3,582.84x = 29,467,085.50
  5. Step 5: Solve for x
    x = 29,467,085.50/3,582.84
  6. Step 6: Final answer
    x = 8,224.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.