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Finding the Third Proportional to 448,638 and 689,589

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Solution

The third proportional to 448,638 and 689,589 is: 1,059,948.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,638 : 689,589 = 689,589 : x
  2. Step 2: Convert to fraction form
    448,638/689,589 = 689,589/x
  3. Step 3: Cross multiply
    448,638x = 689,589 × 689,589
  4. Step 4: Simplify right side
    448,638x = 475,532,988,921
  5. Step 5: Solve for x
    x = 475,532,988,921/448,638
  6. Step 6: Final answer
    x = 1,059,948.08

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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.