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Finding the Third Proportional to 163,939 and 338,102

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Solution

The third proportional to 163,939 and 338,102 is: 697,289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,939 : 338,102 = 338,102 : x
  2. Step 2: Convert to fraction form
    163,939/338,102 = 338,102/x
  3. Step 3: Cross multiply
    163,939x = 338,102 × 338,102
  4. Step 4: Simplify right side
    163,939x = 114,312,962,404
  5. Step 5: Solve for x
    x = 114,312,962,404/163,939
  6. Step 6: Final answer
    x = 697,289.62

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.