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Finding the Third Proportional to 630,420 and 946,278

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Solution

The third proportional to 630,420 and 946,278 is: 1,420,389.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,420 : 946,278 = 946,278 : x
  2. Step 2: Convert to fraction form
    630,420/946,278 = 946,278/x
  3. Step 3: Cross multiply
    630,420x = 946,278 × 946,278
  4. Step 4: Simplify right side
    630,420x = 895,442,053,284
  5. Step 5: Solve for x
    x = 895,442,053,284/630,420
  6. Step 6: Final answer
    x = 1,420,389.67

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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.