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Finding the Third Proportional to 213,108 and 459,424

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Solution

The third proportional to 213,108 and 459,424 is: 990,438.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,108 : 459,424 = 459,424 : x
  2. Step 2: Convert to fraction form
    213,108/459,424 = 459,424/x
  3. Step 3: Cross multiply
    213,108x = 459,424 × 459,424
  4. Step 4: Simplify right side
    213,108x = 211,070,411,776
  5. Step 5: Solve for x
    x = 211,070,411,776/213,108
  6. Step 6: Final answer
    x = 990,438.71

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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.