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Finding the Third Proportional to 354,377 and 777,649

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Solution

The third proportional to 354,377 and 777,649 is: 1,706,481.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,377 : 777,649 = 777,649 : x
  2. Step 2: Convert to fraction form
    354,377/777,649 = 777,649/x
  3. Step 3: Cross multiply
    354,377x = 777,649 × 777,649
  4. Step 4: Simplify right side
    354,377x = 604,737,967,201
  5. Step 5: Solve for x
    x = 604,737,967,201/354,377
  6. Step 6: Final answer
    x = 1,706,481.99

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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.