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Finding the Third Proportional to 323,244 and 434,820

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Solution

The third proportional to 323,244 and 434,820 is: 584,909.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,244 : 434,820 = 434,820 : x
  2. Step 2: Convert to fraction form
    323,244/434,820 = 434,820/x
  3. Step 3: Cross multiply
    323,244x = 434,820 × 434,820
  4. Step 4: Simplify right side
    323,244x = 189,068,432,400
  5. Step 5: Solve for x
    x = 189,068,432,400/323,244
  6. Step 6: Final answer
    x = 584,909.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.