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Finding the Third Proportional to 296,736 and 445,680

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Solution

The third proportional to 296,736 and 445,680 is: 669,385.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,736 : 445,680 = 445,680 : x
  2. Step 2: Convert to fraction form
    296,736/445,680 = 445,680/x
  3. Step 3: Cross multiply
    296,736x = 445,680 × 445,680
  4. Step 4: Simplify right side
    296,736x = 198,630,662,400
  5. Step 5: Solve for x
    x = 198,630,662,400/296,736
  6. Step 6: Final answer
    x = 669,385.12

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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.