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Finding the Third Proportional to 477,930 and 997,686

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Solution

The third proportional to 477,930 and 997,686 is: 2,082,684.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,930 : 997,686 = 997,686 : x
  2. Step 2: Convert to fraction form
    477,930/997,686 = 997,686/x
  3. Step 3: Cross multiply
    477,930x = 997,686 × 997,686
  4. Step 4: Simplify right side
    477,930x = 995,377,354,596
  5. Step 5: Solve for x
    x = 995,377,354,596/477,930
  6. Step 6: Final answer
    x = 2,082,684.40

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.