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Finding the Third Proportional to 680,400 and 1,416,771

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Solution

The third proportional to 680,400 and 1,416,771 is: 2,950,088.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,400 : 1,416,771 = 1,416,771 : x
  2. Step 2: Convert to fraction form
    680,400/1,416,771 = 1,416,771/x
  3. Step 3: Cross multiply
    680,400x = 1,416,771 × 1,416,771
  4. Step 4: Simplify right side
    680,400x = 2,007,240,066,441
  5. Step 5: Solve for x
    x = 2,007,240,066,441/680,400
  6. Step 6: Final answer
    x = 2,950,088.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.