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Finding the Third Proportional to 263,410 and 418,443

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Solution

The third proportional to 263,410 and 418,443 is: 664,722.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,410 : 418,443 = 418,443 : x
  2. Step 2: Convert to fraction form
    263,410/418,443 = 418,443/x
  3. Step 3: Cross multiply
    263,410x = 418,443 × 418,443
  4. Step 4: Simplify right side
    263,410x = 175,094,544,249
  5. Step 5: Solve for x
    x = 175,094,544,249/263,410
  6. Step 6: Final answer
    x = 664,722.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.