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Finding the Third Proportional to 320,976 and 429,408

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Solution

The third proportional to 320,976 and 429,408 is: 574,470.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,976 : 429,408 = 429,408 : x
  2. Step 2: Convert to fraction form
    320,976/429,408 = 429,408/x
  3. Step 3: Cross multiply
    320,976x = 429,408 × 429,408
  4. Step 4: Simplify right side
    320,976x = 184,391,230,464
  5. Step 5: Solve for x
    x = 184,391,230,464/320,976
  6. Step 6: Final answer
    x = 574,470.46

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.