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Finding the Third Proportional to 355,028 and 778,824

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Solution

The third proportional to 355,028 and 778,824 is: 1,708,504.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,028 : 778,824 = 778,824 : x
  2. Step 2: Convert to fraction form
    355,028/778,824 = 778,824/x
  3. Step 3: Cross multiply
    355,028x = 778,824 × 778,824
  4. Step 4: Simplify right side
    355,028x = 606,566,822,976
  5. Step 5: Solve for x
    x = 606,566,822,976/355,028
  6. Step 6: Final answer
    x = 1,708,504.18

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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.