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Finding the Third Proportional to 208,424 and 424,214

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Solution

The third proportional to 208,424 and 424,214 is: 863,420.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,424 : 424,214 = 424,214 : x
  2. Step 2: Convert to fraction form
    208,424/424,214 = 424,214/x
  3. Step 3: Cross multiply
    208,424x = 424,214 × 424,214
  4. Step 4: Simplify right side
    208,424x = 179,957,517,796
  5. Step 5: Solve for x
    x = 179,957,517,796/208,424
  6. Step 6: Final answer
    x = 863,420.32

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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.