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Finding the Third Proportional to 132,480 and 196,920

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Solution

The third proportional to 132,480 and 196,920 is: 292,704.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,480 : 196,920 = 196,920 : x
  2. Step 2: Convert to fraction form
    132,480/196,920 = 196,920/x
  3. Step 3: Cross multiply
    132,480x = 196,920 × 196,920
  4. Step 4: Simplify right side
    132,480x = 38,777,486,400
  5. Step 5: Solve for x
    x = 38,777,486,400/132,480
  6. Step 6: Final answer
    x = 292,704.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.