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Finding the Third Proportional to 138,221.44 and 302,413.50

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Solution

The third proportional to 138,221.44 and 302,413.50 is: 661,647.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,221.44 : 302,413.50 = 302,413.50 : x
  2. Step 2: Convert to fraction form
    138,221.44/302,413.50 = 302,413.50/x
  3. Step 3: Cross multiply
    138,221.44x = 302,413.50 × 302,413.50
  4. Step 4: Simplify right side
    138,221.44x = 91,453,924,982.25
  5. Step 5: Solve for x
    x = 91,453,924,982.25/138,221.44
  6. Step 6: Final answer
    x = 661,647.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.