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Finding the Third Proportional to 354,056 and 778,096

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Solution

The third proportional to 354,056 and 778,096 is: 1,709,993.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,056 : 778,096 = 778,096 : x
  2. Step 2: Convert to fraction form
    354,056/778,096 = 778,096/x
  3. Step 3: Cross multiply
    354,056x = 778,096 × 778,096
  4. Step 4: Simplify right side
    354,056x = 605,433,385,216
  5. Step 5: Solve for x
    x = 605,433,385,216/354,056
  6. Step 6: Final answer
    x = 1,709,993.29

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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.