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Finding the Third Proportional to 344,226 and 483,888

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Solution

The third proportional to 344,226 and 483,888 is: 680,214.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,226 : 483,888 = 483,888 : x
  2. Step 2: Convert to fraction form
    344,226/483,888 = 483,888/x
  3. Step 3: Cross multiply
    344,226x = 483,888 × 483,888
  4. Step 4: Simplify right side
    344,226x = 234,147,596,544
  5. Step 5: Solve for x
    x = 234,147,596,544/344,226
  6. Step 6: Final answer
    x = 680,214.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.