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Finding the Third Proportional to 448,725,836 and 689,297,586

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Solution

The third proportional to 448,725,836 and 689,297,586 is: 1,058,845,120.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,725,836 : 689,297,586 = 689,297,586 : x
  2. Step 2: Convert to fraction form
    448,725,836/689,297,586 = 689,297,586/x
  3. Step 3: Cross multiply
    448,725,836x = 689,297,586 × 689,297,586
  4. Step 4: Simplify right side
    448,725,836x = 475,131,162,065,427,392
  5. Step 5: Solve for x
    x = 475,131,162,065,427,392/448,725,836
  6. Step 6: Final answer
    x = 1,058,845,120.89

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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.