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Finding the Third Proportional to 4,200.19 and 8,975.81

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Solution

The third proportional to 4,200.19 and 8,975.81 is: 19,181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.19 : 8,975.81 = 8,975.81 : x
  2. Step 2: Convert to fraction form
    4,200.19/8,975.81 = 8,975.81/x
  3. Step 3: Cross multiply
    4,200.19x = 8,975.81 × 8,975.81
  4. Step 4: Simplify right side
    4,200.19x = 80,565,210.04
  5. Step 5: Solve for x
    x = 80,565,210.04/4,200.19
  6. Step 6: Final answer
    x = 19,181.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.