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Finding the Third Proportional to 389,672 and 809,958

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Solution

The third proportional to 389,672 and 809,958 is: 1,683,549.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,672 : 809,958 = 809,958 : x
  2. Step 2: Convert to fraction form
    389,672/809,958 = 809,958/x
  3. Step 3: Cross multiply
    389,672x = 809,958 × 809,958
  4. Step 4: Simplify right side
    389,672x = 656,031,961,764
  5. Step 5: Solve for x
    x = 656,031,961,764/389,672
  6. Step 6: Final answer
    x = 1,683,549.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.