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Finding the Third Proportional to 420,266 and 630,831

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Solution

The third proportional to 420,266 and 630,831 is: 946,894.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,266 : 630,831 = 630,831 : x
  2. Step 2: Convert to fraction form
    420,266/630,831 = 630,831/x
  3. Step 3: Cross multiply
    420,266x = 630,831 × 630,831
  4. Step 4: Simplify right side
    420,266x = 397,947,750,561
  5. Step 5: Solve for x
    x = 397,947,750,561/420,266
  6. Step 6: Final answer
    x = 946,894.94

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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.