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Finding the Third Proportional to 971,211 and 1,980,942

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Solution

The third proportional to 971,211 and 1,980,942 is: 4,040,451.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,211 : 1,980,942 = 1,980,942 : x
  2. Step 2: Convert to fraction form
    971,211/1,980,942 = 1,980,942/x
  3. Step 3: Cross multiply
    971,211x = 1,980,942 × 1,980,942
  4. Step 4: Simplify right side
    971,211x = 3,924,131,207,364
  5. Step 5: Solve for x
    x = 3,924,131,207,364/971,211
  6. Step 6: Final answer
    x = 4,040,451.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.