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Finding the Third Proportional to 249,992 and 349,957

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Solution

The third proportional to 249,992 and 349,957 is: 489,895.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,992 : 349,957 = 349,957 : x
  2. Step 2: Convert to fraction form
    249,992/349,957 = 349,957/x
  3. Step 3: Cross multiply
    249,992x = 349,957 × 349,957
  4. Step 4: Simplify right side
    249,992x = 122,469,901,849
  5. Step 5: Solve for x
    x = 122,469,901,849/249,992
  6. Step 6: Final answer
    x = 489,895.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.