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Finding the Third Proportional to 451,730 and 892,120

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Solution

The third proportional to 451,730 and 892,120 is: 1,761,844.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,730 : 892,120 = 892,120 : x
  2. Step 2: Convert to fraction form
    451,730/892,120 = 892,120/x
  3. Step 3: Cross multiply
    451,730x = 892,120 × 892,120
  4. Step 4: Simplify right side
    451,730x = 795,878,094,400
  5. Step 5: Solve for x
    x = 795,878,094,400/451,730
  6. Step 6: Final answer
    x = 1,761,844.67

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.