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Finding the Third Proportional to 389,623.50 and 622,440

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Solution

The third proportional to 389,623.50 and 622,440 is: 994,374.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,623.50 : 622,440 = 622,440 : x
  2. Step 2: Convert to fraction form
    389,623.50/622,440 = 622,440/x
  3. Step 3: Cross multiply
    389,623.50x = 622,440 × 622,440
  4. Step 4: Simplify right side
    389,623.50x = 387,431,553,600
  5. Step 5: Solve for x
    x = 387,431,553,600/389,623.50
  6. Step 6: Final answer
    x = 994,374.19

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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.