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Finding the Third Proportional to 357,108 and 743,805

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Solution

The third proportional to 357,108 and 743,805 is: 1,549,239.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,108 : 743,805 = 743,805 : x
  2. Step 2: Convert to fraction form
    357,108/743,805 = 743,805/x
  3. Step 3: Cross multiply
    357,108x = 743,805 × 743,805
  4. Step 4: Simplify right side
    357,108x = 553,245,878,025
  5. Step 5: Solve for x
    x = 553,245,878,025/357,108
  6. Step 6: Final answer
    x = 1,549,239.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.