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Finding the Third Proportional to 299,288,721 and 699,273,495

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Solution

The third proportional to 299,288,721 and 699,273,495 is: 1,633,818,405.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,288,721 : 699,273,495 = 699,273,495 : x
  2. Step 2: Convert to fraction form
    299,288,721/699,273,495 = 699,273,495/x
  3. Step 3: Cross multiply
    299,288,721x = 699,273,495 × 699,273,495
  4. Step 4: Simplify right side
    299,288,721x = 488,983,420,809,515,008
  5. Step 5: Solve for x
    x = 488,983,420,809,515,008/299,288,721
  6. Step 6: Final answer
    x = 1,633,818,405.10

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.