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Finding the Third Proportional to 80,946 and 168,338.25

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Solution

The third proportional to 80,946 and 168,338.25 is: 350,082.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,946 : 168,338.25 = 168,338.25 : x
  2. Step 2: Convert to fraction form
    80,946/168,338.25 = 168,338.25/x
  3. Step 3: Cross multiply
    80,946x = 168,338.25 × 168,338.25
  4. Step 4: Simplify right side
    80,946x = 28,337,766,413.06
  5. Step 5: Solve for x
    x = 28,337,766,413.06/80,946
  6. Step 6: Final answer
    x = 350,082.36

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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.