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Finding the Third Proportional to 401,467 and 587,124

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Solution

The third proportional to 401,467 and 587,124 is: 858,637.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,467 : 587,124 = 587,124 : x
  2. Step 2: Convert to fraction form
    401,467/587,124 = 587,124/x
  3. Step 3: Cross multiply
    401,467x = 587,124 × 587,124
  4. Step 4: Simplify right side
    401,467x = 344,714,591,376
  5. Step 5: Solve for x
    x = 344,714,591,376/401,467
  6. Step 6: Final answer
    x = 858,637.43

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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.