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Finding the Third Proportional to 630,396 and 946,242

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Solution

The third proportional to 630,396 and 946,242 is: 1,420,335.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,396 : 946,242 = 946,242 : x
  2. Step 2: Convert to fraction form
    630,396/946,242 = 946,242/x
  3. Step 3: Cross multiply
    630,396x = 946,242 × 946,242
  4. Step 4: Simplify right side
    630,396x = 895,373,922,564
  5. Step 5: Solve for x
    x = 895,373,922,564/630,396
  6. Step 6: Final answer
    x = 1,420,335.67

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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.