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Finding the Third Proportional to 80,413.13 and 118,281

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Solution

The third proportional to 80,413.13 and 118,281 is: 173,981.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,413.13 : 118,281 = 118,281 : x
  2. Step 2: Convert to fraction form
    80,413.13/118,281 = 118,281/x
  3. Step 3: Cross multiply
    80,413.13x = 118,281 × 118,281
  4. Step 4: Simplify right side
    80,413.13x = 13,990,394,961
  5. Step 5: Solve for x
    x = 13,990,394,961/80,413.13
  6. Step 6: Final answer
    x = 173,981.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.