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Finding the Third Proportional to 78,324 and 118,212

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Solution

The third proportional to 78,324 and 118,212 is: 178,413.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,324 : 118,212 = 118,212 : x
  2. Step 2: Convert to fraction form
    78,324/118,212 = 118,212/x
  3. Step 3: Cross multiply
    78,324x = 118,212 × 118,212
  4. Step 4: Simplify right side
    78,324x = 13,974,076,944
  5. Step 5: Solve for x
    x = 13,974,076,944/78,324
  6. Step 6: Final answer
    x = 178,413.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.