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Finding the Third Proportional to 211,397,880 and 323,414,940

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Solution

The third proportional to 211,397,880 and 323,414,940 is: 494,788,421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,397,880 : 323,414,940 = 323,414,940 : x
  2. Step 2: Convert to fraction form
    211,397,880/323,414,940 = 323,414,940/x
  3. Step 3: Cross multiply
    211,397,880x = 323,414,940 × 323,414,940
  4. Step 4: Simplify right side
    211,397,880x = 104,597,223,415,203,600
  5. Step 5: Solve for x
    x = 104,597,223,415,203,600/211,397,880
  6. Step 6: Final answer
    x = 494,788,421.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.