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Finding the Third Proportional to 392,488 and 621,804

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Solution

The third proportional to 392,488 and 621,804 is: 985,100.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,488 : 621,804 = 621,804 : x
  2. Step 2: Convert to fraction form
    392,488/621,804 = 621,804/x
  3. Step 3: Cross multiply
    392,488x = 621,804 × 621,804
  4. Step 4: Simplify right side
    392,488x = 386,640,214,416
  5. Step 5: Solve for x
    x = 386,640,214,416/392,488
  6. Step 6: Final answer
    x = 985,100.73

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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.