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Finding the Third Proportional to 280,696 and 446,200

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Solution

The third proportional to 280,696 and 446,200 is: 709,288.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,696 : 446,200 = 446,200 : x
  2. Step 2: Convert to fraction form
    280,696/446,200 = 446,200/x
  3. Step 3: Cross multiply
    280,696x = 446,200 × 446,200
  4. Step 4: Simplify right side
    280,696x = 199,094,440,000
  5. Step 5: Solve for x
    x = 199,094,440,000/280,696
  6. Step 6: Final answer
    x = 709,288.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.