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Finding the Third Proportional to 420,183 and 630,573

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Solution

The third proportional to 420,183 and 630,573 is: 946,307.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,183 : 630,573 = 630,573 : x
  2. Step 2: Convert to fraction form
    420,183/630,573 = 630,573/x
  3. Step 3: Cross multiply
    420,183x = 630,573 × 630,573
  4. Step 4: Simplify right side
    420,183x = 397,622,308,329
  5. Step 5: Solve for x
    x = 397,622,308,329/420,183
  6. Step 6: Final answer
    x = 946,307.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.