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Finding the Third Proportional to 387,622 and 821,272

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Solution

The third proportional to 387,622 and 821,272 is: 1,740,065.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,622 : 821,272 = 821,272 : x
  2. Step 2: Convert to fraction form
    387,622/821,272 = 821,272/x
  3. Step 3: Cross multiply
    387,622x = 821,272 × 821,272
  4. Step 4: Simplify right side
    387,622x = 674,487,697,984
  5. Step 5: Solve for x
    x = 674,487,697,984/387,622
  6. Step 6: Final answer
    x = 1,740,065.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.