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Finding the Third Proportional to 249,884 and 399,668

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Solution

The third proportional to 249,884 and 399,668 is: 639,234.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,884 : 399,668 = 399,668 : x
  2. Step 2: Convert to fraction form
    249,884/399,668 = 399,668/x
  3. Step 3: Cross multiply
    249,884x = 399,668 × 399,668
  4. Step 4: Simplify right side
    249,884x = 159,734,510,224
  5. Step 5: Solve for x
    x = 159,734,510,224/249,884
  6. Step 6: Final answer
    x = 639,234.65

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.