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Finding the Third Proportional to 689,558 and 1,517,356

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Solution

The third proportional to 689,558 and 1,517,356 is: 3,338,905.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,558 : 1,517,356 = 1,517,356 : x
  2. Step 2: Convert to fraction form
    689,558/1,517,356 = 1,517,356/x
  3. Step 3: Cross multiply
    689,558x = 1,517,356 × 1,517,356
  4. Step 4: Simplify right side
    689,558x = 2,302,369,230,736
  5. Step 5: Solve for x
    x = 2,302,369,230,736/689,558
  6. Step 6: Final answer
    x = 3,338,905.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.