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Finding the Third Proportional to 354,717 and 778,419

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Solution

The third proportional to 354,717 and 778,419 is: 1,708,224.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,717 : 778,419 = 778,419 : x
  2. Step 2: Convert to fraction form
    354,717/778,419 = 778,419/x
  3. Step 3: Cross multiply
    354,717x = 778,419 × 778,419
  4. Step 4: Simplify right side
    354,717x = 605,936,139,561
  5. Step 5: Solve for x
    x = 605,936,139,561/354,717
  6. Step 6: Final answer
    x = 1,708,224.13

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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.