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Finding the Third Proportional to 77,195 and 115,466

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Solution

The third proportional to 77,195 and 115,466 is: 172,710.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,195 : 115,466 = 115,466 : x
  2. Step 2: Convert to fraction form
    77,195/115,466 = 115,466/x
  3. Step 3: Cross multiply
    77,195x = 115,466 × 115,466
  4. Step 4: Simplify right side
    77,195x = 13,332,397,156
  5. Step 5: Solve for x
    x = 13,332,397,156/77,195
  6. Step 6: Final answer
    x = 172,710.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.