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Finding the Third Proportional to 406,379 and 889,835

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Solution

The third proportional to 406,379 and 889,835 is: 1,948,443.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,379 : 889,835 = 889,835 : x
  2. Step 2: Convert to fraction form
    406,379/889,835 = 889,835/x
  3. Step 3: Cross multiply
    406,379x = 889,835 × 889,835
  4. Step 4: Simplify right side
    406,379x = 791,806,327,225
  5. Step 5: Solve for x
    x = 791,806,327,225/406,379
  6. Step 6: Final answer
    x = 1,948,443.02

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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.