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Finding the Third Proportional to 92,396 and 128,731

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Solution

The third proportional to 92,396 and 128,731 is: 179,354.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,396 : 128,731 = 128,731 : x
  2. Step 2: Convert to fraction form
    92,396/128,731 = 128,731/x
  3. Step 3: Cross multiply
    92,396x = 128,731 × 128,731
  4. Step 4: Simplify right side
    92,396x = 16,571,670,361
  5. Step 5: Solve for x
    x = 16,571,670,361/92,396
  6. Step 6: Final answer
    x = 179,354.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.