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Finding the Third Proportional to 145,195.73 and 311,410.05

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Solution

The third proportional to 145,195.73 and 311,410.05 is: 667,899.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,195.73 : 311,410.05 = 311,410.05 : x
  2. Step 2: Convert to fraction form
    145,195.73/311,410.05 = 311,410.05/x
  3. Step 3: Cross multiply
    145,195.73x = 311,410.05 × 311,410.05
  4. Step 4: Simplify right side
    145,195.73x = 96,976,222,160.47
  5. Step 5: Solve for x
    x = 96,976,222,160.47/145,195.73
  6. Step 6: Final answer
    x = 667,899.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.