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Finding the Third Proportional to 343,078 and 738,380

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Solution

The third proportional to 343,078 and 738,380 is: 1,589,157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,078 : 738,380 = 738,380 : x
  2. Step 2: Convert to fraction form
    343,078/738,380 = 738,380/x
  3. Step 3: Cross multiply
    343,078x = 738,380 × 738,380
  4. Step 4: Simplify right side
    343,078x = 545,205,024,400
  5. Step 5: Solve for x
    x = 545,205,024,400/343,078
  6. Step 6: Final answer
    x = 1,589,157.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.