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Finding the Third Proportional to 389,908 and 810,461

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Solution

The third proportional to 389,908 and 810,461 is: 1,684,620.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,908 : 810,461 = 810,461 : x
  2. Step 2: Convert to fraction form
    389,908/810,461 = 810,461/x
  3. Step 3: Cross multiply
    389,908x = 810,461 × 810,461
  4. Step 4: Simplify right side
    389,908x = 656,847,032,521
  5. Step 5: Solve for x
    x = 656,847,032,521/389,908
  6. Step 6: Final answer
    x = 1,684,620.56

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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.