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Finding the Third Proportional to 208,425 and 424,215

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Solution

The third proportional to 208,425 and 424,215 is: 863,420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,425 : 424,215 = 424,215 : x
  2. Step 2: Convert to fraction form
    208,425/424,215 = 424,215/x
  3. Step 3: Cross multiply
    208,425x = 424,215 × 424,215
  4. Step 4: Simplify right side
    208,425x = 179,958,366,225
  5. Step 5: Solve for x
    x = 179,958,366,225/208,425
  6. Step 6: Final answer
    x = 863,420.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.