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Finding the Third Proportional to 420,890 and 920,512

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Solution

The third proportional to 420,890 and 920,512 is: 2,013,215.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,890 : 920,512 = 920,512 : x
  2. Step 2: Convert to fraction form
    420,890/920,512 = 920,512/x
  3. Step 3: Cross multiply
    420,890x = 920,512 × 920,512
  4. Step 4: Simplify right side
    420,890x = 847,342,342,144
  5. Step 5: Solve for x
    x = 847,342,342,144/420,890
  6. Step 6: Final answer
    x = 2,013,215.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.