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Finding the Third Proportional to 343,260 and 743,704

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Solution

The third proportional to 343,260 and 743,704 is: 1,611,302.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,260 : 743,704 = 743,704 : x
  2. Step 2: Convert to fraction form
    343,260/743,704 = 743,704/x
  3. Step 3: Cross multiply
    343,260x = 743,704 × 743,704
  4. Step 4: Simplify right side
    343,260x = 553,095,639,616
  5. Step 5: Solve for x
    x = 553,095,639,616/343,260
  6. Step 6: Final answer
    x = 1,611,302.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.