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Finding the Third Proportional to 4,019.63 and 8,649.28

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Solution

The third proportional to 4,019.63 and 8,649.28 is: 18,611.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,019.63 : 8,649.28 = 8,649.28 : x
  2. Step 2: Convert to fraction form
    4,019.63/8,649.28 = 8,649.28/x
  3. Step 3: Cross multiply
    4,019.63x = 8,649.28 × 8,649.28
  4. Step 4: Simplify right side
    4,019.63x = 74,810,066.14
  5. Step 5: Solve for x
    x = 74,810,066.14/4,019.63
  6. Step 6: Final answer
    x = 18,611.21

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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.