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Finding the Third Proportional to 338,049 and 688,617

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Solution

The third proportional to 338,049 and 688,617 is: 1,402,735.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,049 : 688,617 = 688,617 : x
  2. Step 2: Convert to fraction form
    338,049/688,617 = 688,617/x
  3. Step 3: Cross multiply
    338,049x = 688,617 × 688,617
  4. Step 4: Simplify right side
    338,049x = 474,193,372,689
  5. Step 5: Solve for x
    x = 474,193,372,689/338,049
  6. Step 6: Final answer
    x = 1,402,735.62

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.