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Finding the Third Proportional to 213,383 and 459,848

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Solution

The third proportional to 213,383 and 459,848 is: 990,988.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,383 : 459,848 = 459,848 : x
  2. Step 2: Convert to fraction form
    213,383/459,848 = 459,848/x
  3. Step 3: Cross multiply
    213,383x = 459,848 × 459,848
  4. Step 4: Simplify right side
    213,383x = 211,460,183,104
  5. Step 5: Solve for x
    x = 211,460,183,104/213,383
  6. Step 6: Final answer
    x = 990,988.89

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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.