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Finding the Third Proportional to 78,920 and 173,392

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Solution

The third proportional to 78,920 and 173,392 is: 380,952.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,920 : 173,392 = 173,392 : x
  2. Step 2: Convert to fraction form
    78,920/173,392 = 173,392/x
  3. Step 3: Cross multiply
    78,920x = 173,392 × 173,392
  4. Step 4: Simplify right side
    78,920x = 30,064,785,664
  5. Step 5: Solve for x
    x = 30,064,785,664/78,920
  6. Step 6: Final answer
    x = 380,952.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.