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Finding the Third Proportional to 83,413.55 and 121,566.45

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Solution

The third proportional to 83,413.55 and 121,566.45 is: 177,170.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,413.55 : 121,566.45 = 121,566.45 : x
  2. Step 2: Convert to fraction form
    83,413.55/121,566.45 = 121,566.45/x
  3. Step 3: Cross multiply
    83,413.55x = 121,566.45 × 121,566.45
  4. Step 4: Simplify right side
    83,413.55x = 14,778,400,625.92
  5. Step 5: Solve for x
    x = 14,778,400,625.92/83,413.55
  6. Step 6: Final answer
    x = 177,170.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.