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Finding the Third Proportional to 128,132 and 306,026

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Solution

The third proportional to 128,132 and 306,026 is: 730,901.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,132 : 306,026 = 306,026 : x
  2. Step 2: Convert to fraction form
    128,132/306,026 = 306,026/x
  3. Step 3: Cross multiply
    128,132x = 306,026 × 306,026
  4. Step 4: Simplify right side
    128,132x = 93,651,912,676
  5. Step 5: Solve for x
    x = 93,651,912,676/128,132
  6. Step 6: Final answer
    x = 730,901.83

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.