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Finding the Third Proportional to 213,219 and 459,243

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Solution

The third proportional to 213,219 and 459,243 is: 989,143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,219 : 459,243 = 459,243 : x
  2. Step 2: Convert to fraction form
    213,219/459,243 = 459,243/x
  3. Step 3: Cross multiply
    213,219x = 459,243 × 459,243
  4. Step 4: Simplify right side
    213,219x = 210,904,133,049
  5. Step 5: Solve for x
    x = 210,904,133,049/213,219
  6. Step 6: Final answer
    x = 989,143.24

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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.