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Finding the Third Proportional to 76,383,945 and 156,297,710.25

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Solution

The third proportional to 76,383,945 and 156,297,710.25 is: 319,818,179.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,383,945 : 156,297,710.25 = 156,297,710.25 : x
  2. Step 2: Convert to fraction form
    76,383,945/156,297,710.25 = 156,297,710.25/x
  3. Step 3: Cross multiply
    76,383,945x = 156,297,710.25 × 156,297,710.25
  4. Step 4: Simplify right side
    76,383,945x = 24,428,974,229,392,956
  5. Step 5: Solve for x
    x = 24,428,974,229,392,956/76,383,945
  6. Step 6: Final answer
    x = 319,818,179.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.