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Finding the Third Proportional to 420,303 and 902,814

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Solution

The third proportional to 420,303 and 902,814 is: 1,939,251.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,303 : 902,814 = 902,814 : x
  2. Step 2: Convert to fraction form
    420,303/902,814 = 902,814/x
  3. Step 3: Cross multiply
    420,303x = 902,814 × 902,814
  4. Step 4: Simplify right side
    420,303x = 815,073,118,596
  5. Step 5: Solve for x
    x = 815,073,118,596/420,303
  6. Step 6: Final answer
    x = 1,939,251.25

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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.