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Finding the Third Proportional to 434,323 and 664,401

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Solution

The third proportional to 434,323 and 664,401 is: 1,016,360.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,323 : 664,401 = 664,401 : x
  2. Step 2: Convert to fraction form
    434,323/664,401 = 664,401/x
  3. Step 3: Cross multiply
    434,323x = 664,401 × 664,401
  4. Step 4: Simplify right side
    434,323x = 441,428,688,801
  5. Step 5: Solve for x
    x = 441,428,688,801/434,323
  6. Step 6: Final answer
    x = 1,016,360.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.