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Finding the Third Proportional to 407,493 and 890,721

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Solution

The third proportional to 407,493 and 890,721 is: 1,946,987.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,493 : 890,721 = 890,721 : x
  2. Step 2: Convert to fraction form
    407,493/890,721 = 890,721/x
  3. Step 3: Cross multiply
    407,493x = 890,721 × 890,721
  4. Step 4: Simplify right side
    407,493x = 793,383,899,841
  5. Step 5: Solve for x
    x = 793,383,899,841/407,493
  6. Step 6: Final answer
    x = 1,946,987.80

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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.