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Finding the Third Proportional to 1,383,971.06 and 3,019,777.45

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Solution

The third proportional to 1,383,971.06 and 3,019,777.45 is: 6,589,050.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383,971.06 : 3,019,777.45 = 3,019,777.45 : x
  2. Step 2: Convert to fraction form
    1,383,971.06/3,019,777.45 = 3,019,777.45/x
  3. Step 3: Cross multiply
    1,383,971.06x = 3,019,777.45 × 3,019,777.45
  4. Step 4: Simplify right side
    1,383,971.06x = 9,119,055,866,402.11
  5. Step 5: Solve for x
    x = 9,119,055,866,402.11/1,383,971.06
  6. Step 6: Final answer
    x = 6,589,050.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.