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Finding the Third Proportional to 173,276 and 379,640

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Solution

The third proportional to 173,276 and 379,640 is: 831,774.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,276 : 379,640 = 379,640 : x
  2. Step 2: Convert to fraction form
    173,276/379,640 = 379,640/x
  3. Step 3: Cross multiply
    173,276x = 379,640 × 379,640
  4. Step 4: Simplify right side
    173,276x = 144,126,529,600
  5. Step 5: Solve for x
    x = 144,126,529,600/173,276
  6. Step 6: Final answer
    x = 831,774.33

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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.