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Finding the Third Proportional to 86,746 and 129,390

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Solution

The third proportional to 86,746 and 129,390 is: 192,997.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,746 : 129,390 = 129,390 : x
  2. Step 2: Convert to fraction form
    86,746/129,390 = 129,390/x
  3. Step 3: Cross multiply
    86,746x = 129,390 × 129,390
  4. Step 4: Simplify right side
    86,746x = 16,741,772,100
  5. Step 5: Solve for x
    x = 16,741,772,100/86,746
  6. Step 6: Final answer
    x = 192,997.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.