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Finding the Third Proportional to 92,739 and 125,968.50

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Solution

The third proportional to 92,739 and 125,968.50 is: 171,104.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,739 : 125,968.50 = 125,968.50 : x
  2. Step 2: Convert to fraction form
    92,739/125,968.50 = 125,968.50/x
  3. Step 3: Cross multiply
    92,739x = 125,968.50 × 125,968.50
  4. Step 4: Simplify right side
    92,739x = 15,868,062,992.25
  5. Step 5: Solve for x
    x = 15,868,062,992.25/92,739
  6. Step 6: Final answer
    x = 171,104.53

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.