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Finding the Third Proportional to 420,154 and 630,530

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Solution

The third proportional to 420,154 and 630,530 is: 946,243.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,154 : 630,530 = 630,530 : x
  2. Step 2: Convert to fraction form
    420,154/630,530 = 630,530/x
  3. Step 3: Cross multiply
    420,154x = 630,530 × 630,530
  4. Step 4: Simplify right side
    420,154x = 397,568,080,900
  5. Step 5: Solve for x
    x = 397,568,080,900/420,154
  6. Step 6: Final answer
    x = 946,243.71

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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.