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Finding the Third Proportional to 605,409 and 1,328,904

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Solution

The third proportional to 605,409 and 1,328,904 is: 2,917,012.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,409 : 1,328,904 = 1,328,904 : x
  2. Step 2: Convert to fraction form
    605,409/1,328,904 = 1,328,904/x
  3. Step 3: Cross multiply
    605,409x = 1,328,904 × 1,328,904
  4. Step 4: Simplify right side
    605,409x = 1,765,985,841,216
  5. Step 5: Solve for x
    x = 1,765,985,841,216/605,409
  6. Step 6: Final answer
    x = 2,917,012.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.