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Finding the Third Proportional to 213,018 and 459,237

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Solution

The third proportional to 213,018 and 459,237 is: 990,050.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,018 : 459,237 = 459,237 : x
  2. Step 2: Convert to fraction form
    213,018/459,237 = 459,237/x
  3. Step 3: Cross multiply
    213,018x = 459,237 × 459,237
  4. Step 4: Simplify right side
    213,018x = 210,898,622,169
  5. Step 5: Solve for x
    x = 210,898,622,169/213,018
  6. Step 6: Final answer
    x = 990,050.71

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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.