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Finding the Third Proportional to 6,289.50 and 13,328.25

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Solution

The third proportional to 6,289.50 and 13,328.25 is: 28,244.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.50 : 13,328.25 = 13,328.25 : x
  2. Step 2: Convert to fraction form
    6,289.50/13,328.25 = 13,328.25/x
  3. Step 3: Cross multiply
    6,289.50x = 13,328.25 × 13,328.25
  4. Step 4: Simplify right side
    6,289.50x = 177,642,248.06
  5. Step 5: Solve for x
    x = 177,642,248.06/6,289.50
  6. Step 6: Final answer
    x = 28,244.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.