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Finding the Third Proportional to 213,476 and 459,939.25

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Solution

The third proportional to 213,476 and 459,939.25 is: 990,950.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,476 : 459,939.25 = 459,939.25 : x
  2. Step 2: Convert to fraction form
    213,476/459,939.25 = 459,939.25/x
  3. Step 3: Cross multiply
    213,476x = 459,939.25 × 459,939.25
  4. Step 4: Simplify right side
    213,476x = 211,544,113,690.56
  5. Step 5: Solve for x
    x = 211,544,113,690.56/213,476
  6. Step 6: Final answer
    x = 990,950.33

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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.