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Finding the Third Proportional to 264,907 and 396,319

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Solution

The third proportional to 264,907 and 396,319 is: 592,920.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,907 : 396,319 = 396,319 : x
  2. Step 2: Convert to fraction form
    264,907/396,319 = 396,319/x
  3. Step 3: Cross multiply
    264,907x = 396,319 × 396,319
  4. Step 4: Simplify right side
    264,907x = 157,068,749,761
  5. Step 5: Solve for x
    x = 157,068,749,761/264,907
  6. Step 6: Final answer
    x = 592,920.34

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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.