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Finding the Third Proportional to 420,305 and 902,818

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Solution

The third proportional to 420,305 and 902,818 is: 1,939,259.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,305 : 902,818 = 902,818 : x
  2. Step 2: Convert to fraction form
    420,305/902,818 = 902,818/x
  3. Step 3: Cross multiply
    420,305x = 902,818 × 902,818
  4. Step 4: Simplify right side
    420,305x = 815,080,341,124
  5. Step 5: Solve for x
    x = 815,080,341,124/420,305
  6. Step 6: Final answer
    x = 1,939,259.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.