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Finding the Third Proportional to 166,838 and 359,920

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Solution

The third proportional to 166,838 and 359,920 is: 776,456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,838 : 359,920 = 359,920 : x
  2. Step 2: Convert to fraction form
    166,838/359,920 = 359,920/x
  3. Step 3: Cross multiply
    166,838x = 359,920 × 359,920
  4. Step 4: Simplify right side
    166,838x = 129,542,406,400
  5. Step 5: Solve for x
    x = 129,542,406,400/166,838
  6. Step 6: Final answer
    x = 776,456.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.