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Finding the Third Proportional to 445,869 and 690,687

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Solution

The third proportional to 445,869 and 690,687 is: 1,069,929.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,869 : 690,687 = 690,687 : x
  2. Step 2: Convert to fraction form
    445,869/690,687 = 690,687/x
  3. Step 3: Cross multiply
    445,869x = 690,687 × 690,687
  4. Step 4: Simplify right side
    445,869x = 477,048,531,969
  5. Step 5: Solve for x
    x = 477,048,531,969/445,869
  6. Step 6: Final answer
    x = 1,069,929.80

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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.