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Finding the Third Proportional to 2,188.90 and 4,877.09

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Solution

The third proportional to 2,188.90 and 4,877.09 is: 10,866.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.90 : 4,877.09 = 4,877.09 : x
  2. Step 2: Convert to fraction form
    2,188.90/4,877.09 = 4,877.09/x
  3. Step 3: Cross multiply
    2,188.90x = 4,877.09 × 4,877.09
  4. Step 4: Simplify right side
    2,188.90x = 23,785,967.24
  5. Step 5: Solve for x
    x = 23,785,967.24/2,188.90
  6. Step 6: Final answer
    x = 10,866.64

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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.