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Finding the Third Proportional to 132,778 and 203,039

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Solution

The third proportional to 132,778 and 203,039 is: 310,479.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,778 : 203,039 = 203,039 : x
  2. Step 2: Convert to fraction form
    132,778/203,039 = 203,039/x
  3. Step 3: Cross multiply
    132,778x = 203,039 × 203,039
  4. Step 4: Simplify right side
    132,778x = 41,224,835,521
  5. Step 5: Solve for x
    x = 41,224,835,521/132,778
  6. Step 6: Final answer
    x = 310,479.41

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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.