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Finding the Third Proportional to 39,178 and 80,429

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Solution

The third proportional to 39,178 and 80,429 is: 165,113.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,178 : 80,429 = 80,429 : x
  2. Step 2: Convert to fraction form
    39,178/80,429 = 80,429/x
  3. Step 3: Cross multiply
    39,178x = 80,429 × 80,429
  4. Step 4: Simplify right side
    39,178x = 6,468,824,041
  5. Step 5: Solve for x
    x = 6,468,824,041/39,178
  6. Step 6: Final answer
    x = 165,113.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.