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Finding the Third Proportional to 208,447 and 424,254

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Solution

The third proportional to 208,447 and 424,254 is: 863,487.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,447 : 424,254 = 424,254 : x
  2. Step 2: Convert to fraction form
    208,447/424,254 = 424,254/x
  3. Step 3: Cross multiply
    208,447x = 424,254 × 424,254
  4. Step 4: Simplify right side
    208,447x = 179,991,456,516
  5. Step 5: Solve for x
    x = 179,991,456,516/208,447
  6. Step 6: Final answer
    x = 863,487.87

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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.