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Finding the Third Proportional to 689,872 and 1,480,544

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Solution

The third proportional to 689,872 and 1,480,544 is: 3,177,416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,872 : 1,480,544 = 1,480,544 : x
  2. Step 2: Convert to fraction form
    689,872/1,480,544 = 1,480,544/x
  3. Step 3: Cross multiply
    689,872x = 1,480,544 × 1,480,544
  4. Step 4: Simplify right side
    689,872x = 2,192,010,535,936
  5. Step 5: Solve for x
    x = 2,192,010,535,936/689,872
  6. Step 6: Final answer
    x = 3,177,416.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.