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Finding the Third Proportional to 342,600 and 737,692

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Solution

The third proportional to 342,600 and 737,692 is: 1,588,410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,600 : 737,692 = 737,692 : x
  2. Step 2: Convert to fraction form
    342,600/737,692 = 737,692/x
  3. Step 3: Cross multiply
    342,600x = 737,692 × 737,692
  4. Step 4: Simplify right side
    342,600x = 544,189,486,864
  5. Step 5: Solve for x
    x = 544,189,486,864/342,600
  6. Step 6: Final answer
    x = 1,588,410.64

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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.