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Finding the Third Proportional to 354,696 and 778,374

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Solution

The third proportional to 354,696 and 778,374 is: 1,708,127.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,696 : 778,374 = 778,374 : x
  2. Step 2: Convert to fraction form
    354,696/778,374 = 778,374/x
  3. Step 3: Cross multiply
    354,696x = 778,374 × 778,374
  4. Step 4: Simplify right side
    354,696x = 605,866,083,876
  5. Step 5: Solve for x
    x = 605,866,083,876/354,696
  6. Step 6: Final answer
    x = 1,708,127.76

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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.