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Finding the Third Proportional to 321,024 and 429,478

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Solution

The third proportional to 321,024 and 429,478 is: 574,571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,024 : 429,478 = 429,478 : x
  2. Step 2: Convert to fraction form
    321,024/429,478 = 429,478/x
  3. Step 3: Cross multiply
    321,024x = 429,478 × 429,478
  4. Step 4: Simplify right side
    321,024x = 184,451,352,484
  5. Step 5: Solve for x
    x = 184,451,352,484/321,024
  6. Step 6: Final answer
    x = 574,571.85

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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.