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Finding the Third Proportional to 354,542 and 777,966

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Solution

The third proportional to 354,542 and 777,966 is: 1,707,078.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,542 : 777,966 = 777,966 : x
  2. Step 2: Convert to fraction form
    354,542/777,966 = 777,966/x
  3. Step 3: Cross multiply
    354,542x = 777,966 × 777,966
  4. Step 4: Simplify right side
    354,542x = 605,231,097,156
  5. Step 5: Solve for x
    x = 605,231,097,156/354,542
  6. Step 6: Final answer
    x = 1,707,078.70

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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.