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Finding the Third Proportional to 321,552 and 689,760

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Solution

The third proportional to 321,552 and 689,760 is: 1,479,601.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,552 : 689,760 = 689,760 : x
  2. Step 2: Convert to fraction form
    321,552/689,760 = 689,760/x
  3. Step 3: Cross multiply
    321,552x = 689,760 × 689,760
  4. Step 4: Simplify right side
    321,552x = 475,768,857,600
  5. Step 5: Solve for x
    x = 475,768,857,600/321,552
  6. Step 6: Final answer
    x = 1,479,601.61

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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.