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Finding the Third Proportional to 283,442,242 and 405,322,890

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Solution

The third proportional to 283,442,242 and 405,322,890 is: 579,612,424.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,442,242 : 405,322,890 = 405,322,890 : x
  2. Step 2: Convert to fraction form
    283,442,242/405,322,890 = 405,322,890/x
  3. Step 3: Cross multiply
    283,442,242x = 405,322,890 × 405,322,890
  4. Step 4: Simplify right side
    283,442,242x = 164,286,645,157,952,096
  5. Step 5: Solve for x
    x = 164,286,645,157,952,096/283,442,242
  6. Step 6: Final answer
    x = 579,612,424.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.