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Finding the Third Proportional to 406,396 and 879,608

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Solution

The third proportional to 406,396 and 879,608 is: 1,903,833.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,396 : 879,608 = 879,608 : x
  2. Step 2: Convert to fraction form
    406,396/879,608 = 879,608/x
  3. Step 3: Cross multiply
    406,396x = 879,608 × 879,608
  4. Step 4: Simplify right side
    406,396x = 773,710,233,664
  5. Step 5: Solve for x
    x = 773,710,233,664/406,396
  6. Step 6: Final answer
    x = 1,903,833.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.