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Finding the Third Proportional to 197,420 and 288,752

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Solution

The third proportional to 197,420 and 288,752 is: 422,336.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,420 : 288,752 = 288,752 : x
  2. Step 2: Convert to fraction form
    197,420/288,752 = 288,752/x
  3. Step 3: Cross multiply
    197,420x = 288,752 × 288,752
  4. Step 4: Simplify right side
    197,420x = 83,377,717,504
  5. Step 5: Solve for x
    x = 83,377,717,504/197,420
  6. Step 6: Final answer
    x = 422,336.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.