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Finding the Third Proportional to 444,356 and 688,245

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Solution

The third proportional to 444,356 and 688,245 is: 1,065,994.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,356 : 688,245 = 688,245 : x
  2. Step 2: Convert to fraction form
    444,356/688,245 = 688,245/x
  3. Step 3: Cross multiply
    444,356x = 688,245 × 688,245
  4. Step 4: Simplify right side
    444,356x = 473,681,180,025
  5. Step 5: Solve for x
    x = 473,681,180,025/444,356
  6. Step 6: Final answer
    x = 1,065,994.79

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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.