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Finding the Third Proportional to 362,440 and 768,728

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Solution

The third proportional to 362,440 and 768,728 is: 1,630,456.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,440 : 768,728 = 768,728 : x
  2. Step 2: Convert to fraction form
    362,440/768,728 = 768,728/x
  3. Step 3: Cross multiply
    362,440x = 768,728 × 768,728
  4. Step 4: Simplify right side
    362,440x = 590,942,737,984
  5. Step 5: Solve for x
    x = 590,942,737,984/362,440
  6. Step 6: Final answer
    x = 1,630,456.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.