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Finding the Third Proportional to 398,025 and 840,975

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Solution

The third proportional to 398,025 and 840,975 is: 1,776,870.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,025 : 840,975 = 840,975 : x
  2. Step 2: Convert to fraction form
    398,025/840,975 = 840,975/x
  3. Step 3: Cross multiply
    398,025x = 840,975 × 840,975
  4. Step 4: Simplify right side
    398,025x = 707,238,950,625
  5. Step 5: Solve for x
    x = 707,238,950,625/398,025
  6. Step 6: Final answer
    x = 1,776,870.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.