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Finding the Third Proportional to 291,021,954,421 and 636,905,945,684

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Solution

The third proportional to 291,021,954,421 and 636,905,945,684 is: 1,393,878,288,167.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,021,954,421 : 636,905,945,684 = 636,905,945,684 : x
  2. Step 2: Convert to fraction form
    291,021,954,421/636,905,945,684 = 636,905,945,684/x
  3. Step 3: Cross multiply
    291,021,954,421x = 636,905,945,684 × 636,905,945,684
  4. Step 4: Simplify right side
    291,021,954,421x = 405,649,183,647,630,375,256,064
  5. Step 5: Solve for x
    x = 405,649,183,647,630,375,256,064/291,021,954,421
  6. Step 6: Final answer
    x = 1,393,878,288,167.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.