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Finding the Third Proportional to 381,323 and 829,044

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Solution

The third proportional to 381,323 and 829,044 is: 1,802,445.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,323 : 829,044 = 829,044 : x
  2. Step 2: Convert to fraction form
    381,323/829,044 = 829,044/x
  3. Step 3: Cross multiply
    381,323x = 829,044 × 829,044
  4. Step 4: Simplify right side
    381,323x = 687,313,953,936
  5. Step 5: Solve for x
    x = 687,313,953,936/381,323
  6. Step 6: Final answer
    x = 1,802,445.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.