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Finding the Third Proportional to 213,124 and 459,488

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Solution

The third proportional to 213,124 and 459,488 is: 990,640.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,124 : 459,488 = 459,488 : x
  2. Step 2: Convert to fraction form
    213,124/459,488 = 459,488/x
  3. Step 3: Cross multiply
    213,124x = 459,488 × 459,488
  4. Step 4: Simplify right side
    213,124x = 211,129,222,144
  5. Step 5: Solve for x
    x = 211,129,222,144/213,124
  6. Step 6: Final answer
    x = 990,640.29

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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.