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Finding the Third Proportional to 132,480 and 204,672

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Solution

The third proportional to 132,480 and 204,672 is: 316,203.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,480 : 204,672 = 204,672 : x
  2. Step 2: Convert to fraction form
    132,480/204,672 = 204,672/x
  3. Step 3: Cross multiply
    132,480x = 204,672 × 204,672
  4. Step 4: Simplify right side
    132,480x = 41,890,627,584
  5. Step 5: Solve for x
    x = 41,890,627,584/132,480
  6. Step 6: Final answer
    x = 316,203.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.