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Finding the Third Proportional to 279,613 and 608,378

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Solution

The third proportional to 279,613 and 608,378 is: 1,323,700.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,613 : 608,378 = 608,378 : x
  2. Step 2: Convert to fraction form
    279,613/608,378 = 608,378/x
  3. Step 3: Cross multiply
    279,613x = 608,378 × 608,378
  4. Step 4: Simplify right side
    279,613x = 370,123,790,884
  5. Step 5: Solve for x
    x = 370,123,790,884/279,613
  6. Step 6: Final answer
    x = 1,323,700.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.