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Finding the Third Proportional to 194,385,512 and 428,392,981

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Solution

The third proportional to 194,385,512 and 428,392,981 is: 944,106,092.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,385,512 : 428,392,981 = 428,392,981 : x
  2. Step 2: Convert to fraction form
    194,385,512/428,392,981 = 428,392,981/x
  3. Step 3: Cross multiply
    194,385,512x = 428,392,981 × 428,392,981
  4. Step 4: Simplify right side
    194,385,512x = 183,520,546,170,066,368
  5. Step 5: Solve for x
    x = 183,520,546,170,066,368/194,385,512
  6. Step 6: Final answer
    x = 944,106,092.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.