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Finding the Third Proportional to 92,170 and 139,100

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Solution

The third proportional to 92,170 and 139,100 is: 209,925.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,170 : 139,100 = 139,100 : x
  2. Step 2: Convert to fraction form
    92,170/139,100 = 139,100/x
  3. Step 3: Cross multiply
    92,170x = 139,100 × 139,100
  4. Step 4: Simplify right side
    92,170x = 19,348,810,000
  5. Step 5: Solve for x
    x = 19,348,810,000/92,170
  6. Step 6: Final answer
    x = 209,925.25

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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.