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Finding the Third Proportional to 77,826 and 115,605

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Solution

The third proportional to 77,826 and 115,605 is: 171,723.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,826 : 115,605 = 115,605 : x
  2. Step 2: Convert to fraction form
    77,826/115,605 = 115,605/x
  3. Step 3: Cross multiply
    77,826x = 115,605 × 115,605
  4. Step 4: Simplify right side
    77,826x = 13,364,516,025
  5. Step 5: Solve for x
    x = 13,364,516,025/77,826
  6. Step 6: Final answer
    x = 171,723.02

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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.