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Finding the Third Proportional to 173,128 and 270,627

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Solution

The third proportional to 173,128 and 270,627 is: 423,033.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,128 : 270,627 = 270,627 : x
  2. Step 2: Convert to fraction form
    173,128/270,627 = 270,627/x
  3. Step 3: Cross multiply
    173,128x = 270,627 × 270,627
  4. Step 4: Simplify right side
    173,128x = 73,238,973,129
  5. Step 5: Solve for x
    x = 73,238,973,129/173,128
  6. Step 6: Final answer
    x = 423,033.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.