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Finding the Third Proportional to 249,914 and 399,707

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Solution

The third proportional to 249,914 and 399,707 is: 639,282.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,914 : 399,707 = 399,707 : x
  2. Step 2: Convert to fraction form
    249,914/399,707 = 399,707/x
  3. Step 3: Cross multiply
    249,914x = 399,707 × 399,707
  4. Step 4: Simplify right side
    249,914x = 159,765,685,849
  5. Step 5: Solve for x
    x = 159,765,685,849/249,914
  6. Step 6: Final answer
    x = 639,282.66

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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.