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Finding the Third Proportional to 389,601.75 and 622,385.25

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Solution

The third proportional to 389,601.75 and 622,385.25 is: 994,254.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,601.75 : 622,385.25 = 622,385.25 : x
  2. Step 2: Convert to fraction form
    389,601.75/622,385.25 = 622,385.25/x
  3. Step 3: Cross multiply
    389,601.75x = 622,385.25 × 622,385.25
  4. Step 4: Simplify right side
    389,601.75x = 387,363,399,417.56
  5. Step 5: Solve for x
    x = 387,363,399,417.56/389,601.75
  6. Step 6: Final answer
    x = 994,254.77

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.