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Finding the Third Proportional to 453,936 and 997,920

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Solution

The third proportional to 453,936 and 997,920 is: 2,193,798.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,936 : 997,920 = 997,920 : x
  2. Step 2: Convert to fraction form
    453,936/997,920 = 997,920/x
  3. Step 3: Cross multiply
    453,936x = 997,920 × 997,920
  4. Step 4: Simplify right side
    453,936x = 995,844,326,400
  5. Step 5: Solve for x
    x = 995,844,326,400/453,936
  6. Step 6: Final answer
    x = 2,193,798.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.