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Finding the Third Proportional to 392,543 and 622,584

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Solution

The third proportional to 392,543 and 622,584 is: 987,435.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,543 : 622,584 = 622,584 : x
  2. Step 2: Convert to fraction form
    392,543/622,584 = 622,584/x
  3. Step 3: Cross multiply
    392,543x = 622,584 × 622,584
  4. Step 4: Simplify right side
    392,543x = 387,610,837,056
  5. Step 5: Solve for x
    x = 387,610,837,056/392,543
  6. Step 6: Final answer
    x = 987,435.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.