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Finding the Third Proportional to 194,794,296 and 428,546,986

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Solution

The third proportional to 194,794,296 and 428,546,986 is: 942,802,345.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,794,296 : 428,546,986 = 428,546,986 : x
  2. Step 2: Convert to fraction form
    194,794,296/428,546,986 = 428,546,986/x
  3. Step 3: Cross multiply
    194,794,296x = 428,546,986 × 428,546,986
  4. Step 4: Simplify right side
    194,794,296x = 183,652,519,209,684,192
  5. Step 5: Solve for x
    x = 183,652,519,209,684,192/194,794,296
  6. Step 6: Final answer
    x = 942,802,345.76

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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.