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Finding the Third Proportional to 208,448 and 424,258

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Solution

The third proportional to 208,448 and 424,258 is: 863,500.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,448 : 424,258 = 424,258 : x
  2. Step 2: Convert to fraction form
    208,448/424,258 = 424,258/x
  3. Step 3: Cross multiply
    208,448x = 424,258 × 424,258
  4. Step 4: Simplify right side
    208,448x = 179,994,850,564
  5. Step 5: Solve for x
    x = 179,994,850,564/208,448
  6. Step 6: Final answer
    x = 863,500.01

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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.