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Finding the Third Proportional to 729,009 and 1,103,556.75

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Solution

The third proportional to 729,009 and 1,103,556.75 is: 1,670,538.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,009 : 1,103,556.75 = 1,103,556.75 : x
  2. Step 2: Convert to fraction form
    729,009/1,103,556.75 = 1,103,556.75/x
  3. Step 3: Cross multiply
    729,009x = 1,103,556.75 × 1,103,556.75
  4. Step 4: Simplify right side
    729,009x = 1,217,837,500,470.56
  5. Step 5: Solve for x
    x = 1,217,837,500,470.56/729,009
  6. Step 6: Final answer
    x = 1,670,538.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.