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Finding the Third Proportional to 1,605,411 and 3,378,897

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Solution

The third proportional to 1,605,411 and 3,378,897 is: 7,111,540.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,411 : 3,378,897 = 3,378,897 : x
  2. Step 2: Convert to fraction form
    1,605,411/3,378,897 = 3,378,897/x
  3. Step 3: Cross multiply
    1,605,411x = 3,378,897 × 3,378,897
  4. Step 4: Simplify right side
    1,605,411x = 11,416,944,936,609
  5. Step 5: Solve for x
    x = 11,416,944,936,609/1,605,411
  6. Step 6: Final answer
    x = 7,111,540.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.