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Finding the Third Proportional to 434,750 and 668,325

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Solution

The third proportional to 434,750 and 668,325 is: 1,027,391.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,750 : 668,325 = 668,325 : x
  2. Step 2: Convert to fraction form
    434,750/668,325 = 668,325/x
  3. Step 3: Cross multiply
    434,750x = 668,325 × 668,325
  4. Step 4: Simplify right side
    434,750x = 446,658,305,625
  5. Step 5: Solve for x
    x = 446,658,305,625/434,750
  6. Step 6: Final answer
    x = 1,027,391.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.