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Finding the Third Proportional to 173,502 and 256,851

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Solution

The third proportional to 173,502 and 256,851 is: 380,240.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,502 : 256,851 = 256,851 : x
  2. Step 2: Convert to fraction form
    173,502/256,851 = 256,851/x
  3. Step 3: Cross multiply
    173,502x = 256,851 × 256,851
  4. Step 4: Simplify right side
    173,502x = 65,972,436,201
  5. Step 5: Solve for x
    x = 65,972,436,201/173,502
  6. Step 6: Final answer
    x = 380,240.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.