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Finding the Third Proportional to 378,434 and 829,444

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Solution

The third proportional to 378,434 and 829,444 is: 1,817,958.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,434 : 829,444 = 829,444 : x
  2. Step 2: Convert to fraction form
    378,434/829,444 = 829,444/x
  3. Step 3: Cross multiply
    378,434x = 829,444 × 829,444
  4. Step 4: Simplify right side
    378,434x = 687,977,349,136
  5. Step 5: Solve for x
    x = 687,977,349,136/378,434
  6. Step 6: Final answer
    x = 1,817,958.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.