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Finding the Third Proportional to 119,939 and 249,601

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Solution

The third proportional to 119,939 and 249,601 is: 519,436.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,939 : 249,601 = 249,601 : x
  2. Step 2: Convert to fraction form
    119,939/249,601 = 249,601/x
  3. Step 3: Cross multiply
    119,939x = 249,601 × 249,601
  4. Step 4: Simplify right side
    119,939x = 62,300,659,201
  5. Step 5: Solve for x
    x = 62,300,659,201/119,939
  6. Step 6: Final answer
    x = 519,436.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.