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Finding the Third Proportional to 78,138 and 170,976

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Solution

The third proportional to 78,138 and 170,976 is: 374,117.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,138 : 170,976 = 170,976 : x
  2. Step 2: Convert to fraction form
    78,138/170,976 = 170,976/x
  3. Step 3: Cross multiply
    78,138x = 170,976 × 170,976
  4. Step 4: Simplify right side
    78,138x = 29,232,792,576
  5. Step 5: Solve for x
    x = 29,232,792,576/78,138
  6. Step 6: Final answer
    x = 374,117.49

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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.