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Finding the Third Proportional to 353,940 and 777,864

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Solution

The third proportional to 353,940 and 777,864 is: 1,709,533.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,940 : 777,864 = 777,864 : x
  2. Step 2: Convert to fraction form
    353,940/777,864 = 777,864/x
  3. Step 3: Cross multiply
    353,940x = 777,864 × 777,864
  4. Step 4: Simplify right side
    353,940x = 605,072,402,496
  5. Step 5: Solve for x
    x = 605,072,402,496/353,940
  6. Step 6: Final answer
    x = 1,709,533.83

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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.