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Finding the Third Proportional to 4,020.75 and 8,962.88

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Solution

The third proportional to 4,020.75 and 8,962.88 is: 19,979.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,020.75 : 8,962.88 = 8,962.88 : x
  2. Step 2: Convert to fraction form
    4,020.75/8,962.88 = 8,962.88/x
  3. Step 3: Cross multiply
    4,020.75x = 8,962.88 × 8,962.88
  4. Step 4: Simplify right side
    4,020.75x = 80,333,128.27
  5. Step 5: Solve for x
    x = 80,333,128.27/4,020.75
  6. Step 6: Final answer
    x = 19,979.64

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.