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Finding the Third Proportional to 448,725,838 and 689,297,589

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Solution

The third proportional to 448,725,838 and 689,297,589 is: 1,058,845,125.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,725,838 : 689,297,589 = 689,297,589 : x
  2. Step 2: Convert to fraction form
    448,725,838/689,297,589 = 689,297,589/x
  3. Step 3: Cross multiply
    448,725,838x = 689,297,589 × 689,297,589
  4. Step 4: Simplify right side
    448,725,838x = 475,131,166,201,212,928
  5. Step 5: Solve for x
    x = 475,131,166,201,212,928/448,725,838
  6. Step 6: Final answer
    x = 1,058,845,125.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.