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Finding the Third Proportional to 3,642.75 and 7,828.88

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Solution

The third proportional to 3,642.75 and 7,828.88 is: 16,825.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.75 : 7,828.88 = 7,828.88 : x
  2. Step 2: Convert to fraction form
    3,642.75/7,828.88 = 7,828.88/x
  3. Step 3: Cross multiply
    3,642.75x = 7,828.88 × 7,828.88
  4. Step 4: Simplify right side
    3,642.75x = 61,291,283.77
  5. Step 5: Solve for x
    x = 61,291,283.77/3,642.75
  6. Step 6: Final answer
    x = 16,825.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.