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Finding the Third Proportional to 420,251.50 and 628,890

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Solution

The third proportional to 420,251.50 and 628,890 is: 941,109.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,251.50 : 628,890 = 628,890 : x
  2. Step 2: Convert to fraction form
    420,251.50/628,890 = 628,890/x
  3. Step 3: Cross multiply
    420,251.50x = 628,890 × 628,890
  4. Step 4: Simplify right side
    420,251.50x = 395,502,632,100
  5. Step 5: Solve for x
    x = 395,502,632,100/420,251.50
  6. Step 6: Final answer
    x = 941,109.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.