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Finding the Third Proportional to 444,834.75 and 689,373

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Solution

The third proportional to 444,834.75 and 689,373 is: 1,068,340.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,834.75 : 689,373 = 689,373 : x
  2. Step 2: Convert to fraction form
    444,834.75/689,373 = 689,373/x
  3. Step 3: Cross multiply
    444,834.75x = 689,373 × 689,373
  4. Step 4: Simplify right side
    444,834.75x = 475,235,133,129
  5. Step 5: Solve for x
    x = 475,235,133,129/444,834.75
  6. Step 6: Final answer
    x = 1,068,340.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.