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Finding the Third Proportional to 406,512 and 603,873

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Solution

The third proportional to 406,512 and 603,873 is: 897,052.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,512 : 603,873 = 603,873 : x
  2. Step 2: Convert to fraction form
    406,512/603,873 = 603,873/x
  3. Step 3: Cross multiply
    406,512x = 603,873 × 603,873
  4. Step 4: Simplify right side
    406,512x = 364,662,600,129
  5. Step 5: Solve for x
    x = 364,662,600,129/406,512
  6. Step 6: Final answer
    x = 897,052.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.