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Finding the Third Proportional to 91,826 and 129,977

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Solution

The third proportional to 91,826 and 129,977 is: 183,978.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,826 : 129,977 = 129,977 : x
  2. Step 2: Convert to fraction form
    91,826/129,977 = 129,977/x
  3. Step 3: Cross multiply
    91,826x = 129,977 × 129,977
  4. Step 4: Simplify right side
    91,826x = 16,894,020,529
  5. Step 5: Solve for x
    x = 16,894,020,529/91,826
  6. Step 6: Final answer
    x = 183,978.62

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.