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Finding the Third Proportional to 180,340 and 387,256

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Solution

The third proportional to 180,340 and 387,256 is: 831,580.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,340 : 387,256 = 387,256 : x
  2. Step 2: Convert to fraction form
    180,340/387,256 = 387,256/x
  3. Step 3: Cross multiply
    180,340x = 387,256 × 387,256
  4. Step 4: Simplify right side
    180,340x = 149,967,209,536
  5. Step 5: Solve for x
    x = 149,967,209,536/180,340
  6. Step 6: Final answer
    x = 831,580.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.