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Finding the Third Proportional to 132,748 and 203,162

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Solution

The third proportional to 132,748 and 203,162 is: 310,925.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,748 : 203,162 = 203,162 : x
  2. Step 2: Convert to fraction form
    132,748/203,162 = 203,162/x
  3. Step 3: Cross multiply
    132,748x = 203,162 × 203,162
  4. Step 4: Simplify right side
    132,748x = 41,274,798,244
  5. Step 5: Solve for x
    x = 41,274,798,244/132,748
  6. Step 6: Final answer
    x = 310,925.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.