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Finding the Third Proportional to 689,377 and 1,489,438

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Solution

The third proportional to 689,377 and 1,489,438 is: 3,218,015.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,377 : 1,489,438 = 1,489,438 : x
  2. Step 2: Convert to fraction form
    689,377/1,489,438 = 1,489,438/x
  3. Step 3: Cross multiply
    689,377x = 1,489,438 × 1,489,438
  4. Step 4: Simplify right side
    689,377x = 2,218,425,555,844
  5. Step 5: Solve for x
    x = 2,218,425,555,844/689,377
  6. Step 6: Final answer
    x = 3,218,015.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.