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Finding the Third Proportional to 213,005.81 and 459,226.69

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Solution

The third proportional to 213,005.81 and 459,226.69 is: 990,062.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,005.81 : 459,226.69 = 459,226.69 : x
  2. Step 2: Convert to fraction form
    213,005.81/459,226.69 = 459,226.69/x
  3. Step 3: Cross multiply
    213,005.81x = 459,226.69 × 459,226.69
  4. Step 4: Simplify right side
    213,005.81x = 210,889,150,512.22
  5. Step 5: Solve for x
    x = 210,889,150,512.22/213,005.81
  6. Step 6: Final answer
    x = 990,062.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.