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Finding the Third Proportional to 70,486.31 and 154,992.38

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Solution

The third proportional to 70,486.31 and 154,992.38 is: 340,812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,486.31 : 154,992.38 = 154,992.38 : x
  2. Step 2: Convert to fraction form
    70,486.31/154,992.38 = 154,992.38/x
  3. Step 3: Cross multiply
    70,486.31x = 154,992.38 × 154,992.38
  4. Step 4: Simplify right side
    70,486.31x = 24,022,636,308.14
  5. Step 5: Solve for x
    x = 24,022,636,308.14/70,486.31
  6. Step 6: Final answer
    x = 340,812.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.