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Finding the Third Proportional to 379,914 and 820,724

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Solution

The third proportional to 379,914 and 820,724 is: 1,773,000.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,914 : 820,724 = 820,724 : x
  2. Step 2: Convert to fraction form
    379,914/820,724 = 820,724/x
  3. Step 3: Cross multiply
    379,914x = 820,724 × 820,724
  4. Step 4: Simplify right side
    379,914x = 673,587,884,176
  5. Step 5: Solve for x
    x = 673,587,884,176/379,914
  6. Step 6: Final answer
    x = 1,773,000.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.