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Finding the Third Proportional to 79,420 and 173,078

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Solution

The third proportional to 79,420 and 173,078 is: 377,184.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,420 : 173,078 = 173,078 : x
  2. Step 2: Convert to fraction form
    79,420/173,078 = 173,078/x
  3. Step 3: Cross multiply
    79,420x = 173,078 × 173,078
  4. Step 4: Simplify right side
    79,420x = 29,955,994,084
  5. Step 5: Solve for x
    x = 29,955,994,084/79,420
  6. Step 6: Final answer
    x = 377,184.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.