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Finding the Third Proportional to 406,378 and 889,833

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Solution

The third proportional to 406,378 and 889,833 is: 1,948,439.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,378 : 889,833 = 889,833 : x
  2. Step 2: Convert to fraction form
    406,378/889,833 = 889,833/x
  3. Step 3: Cross multiply
    406,378x = 889,833 × 889,833
  4. Step 4: Simplify right side
    406,378x = 791,802,767,889
  5. Step 5: Solve for x
    x = 791,802,767,889/406,378
  6. Step 6: Final answer
    x = 1,948,439.06

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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.