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Finding the Third Proportional to 355,009 and 778,867

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Solution

The third proportional to 355,009 and 778,867 is: 1,708,784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,009 : 778,867 = 778,867 : x
  2. Step 2: Convert to fraction form
    355,009/778,867 = 778,867/x
  3. Step 3: Cross multiply
    355,009x = 778,867 × 778,867
  4. Step 4: Simplify right side
    355,009x = 606,633,803,689
  5. Step 5: Solve for x
    x = 606,633,803,689/355,009
  6. Step 6: Final answer
    x = 1,708,784.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.