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Finding the Third Proportional to 376,407,129 and 815,347,146

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Solution

The third proportional to 376,407,129 and 815,347,146 is: 1,766,148,718.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,407,129 : 815,347,146 = 815,347,146 : x
  2. Step 2: Convert to fraction form
    376,407,129/815,347,146 = 815,347,146/x
  3. Step 3: Cross multiply
    376,407,129x = 815,347,146 × 815,347,146
  4. Step 4: Simplify right side
    376,407,129x = 664,790,968,490,345,344
  5. Step 5: Solve for x
    x = 664,790,968,490,345,344/376,407,129
  6. Step 6: Final answer
    x = 1,766,148,718.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.