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Finding the Third Proportional to 354,914 and 774,059

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Solution

The third proportional to 354,914 and 774,059 is: 1,688,204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,914 : 774,059 = 774,059 : x
  2. Step 2: Convert to fraction form
    354,914/774,059 = 774,059/x
  3. Step 3: Cross multiply
    354,914x = 774,059 × 774,059
  4. Step 4: Simplify right side
    354,914x = 599,167,335,481
  5. Step 5: Solve for x
    x = 599,167,335,481/354,914
  6. Step 6: Final answer
    x = 1,688,204.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.