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Finding the Third Proportional to 355,770 and 777,906

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Solution

The third proportional to 355,770 and 777,906 is: 1,700,924.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,770 : 777,906 = 777,906 : x
  2. Step 2: Convert to fraction form
    355,770/777,906 = 777,906/x
  3. Step 3: Cross multiply
    355,770x = 777,906 × 777,906
  4. Step 4: Simplify right side
    355,770x = 605,137,744,836
  5. Step 5: Solve for x
    x = 605,137,744,836/355,770
  6. Step 6: Final answer
    x = 1,700,924.04

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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.