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Finding the Third Proportional to 213,218 and 459,650

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Solution

The third proportional to 213,218 and 459,650 is: 990,901.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,218 : 459,650 = 459,650 : x
  2. Step 2: Convert to fraction form
    213,218/459,650 = 459,650/x
  3. Step 3: Cross multiply
    213,218x = 459,650 × 459,650
  4. Step 4: Simplify right side
    213,218x = 211,278,122,500
  5. Step 5: Solve for x
    x = 211,278,122,500/213,218
  6. Step 6: Final answer
    x = 990,901.91

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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.