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Finding the Third Proportional to 392,378 and 621,735

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Solution

The third proportional to 392,378 and 621,735 is: 985,158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,378 : 621,735 = 621,735 : x
  2. Step 2: Convert to fraction form
    392,378/621,735 = 621,735/x
  3. Step 3: Cross multiply
    392,378x = 621,735 × 621,735
  4. Step 4: Simplify right side
    392,378x = 386,554,410,225
  5. Step 5: Solve for x
    x = 386,554,410,225/392,378
  6. Step 6: Final answer
    x = 985,158.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.