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Finding the Third Proportional to 80,178 and 175,395

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Solution

The third proportional to 80,178 and 175,395 is: 383,688.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,178 : 175,395 = 175,395 : x
  2. Step 2: Convert to fraction form
    80,178/175,395 = 175,395/x
  3. Step 3: Cross multiply
    80,178x = 175,395 × 175,395
  4. Step 4: Simplify right side
    80,178x = 30,763,406,025
  5. Step 5: Solve for x
    x = 30,763,406,025/80,178
  6. Step 6: Final answer
    x = 383,688.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.