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Finding the Third Proportional to 138,455.58 and 207,452.39

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Solution

The third proportional to 138,455.58 and 207,452.39 is: 310,832.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,455.58 : 207,452.39 = 207,452.39 : x
  2. Step 2: Convert to fraction form
    138,455.58/207,452.39 = 207,452.39/x
  3. Step 3: Cross multiply
    138,455.58x = 207,452.39 × 207,452.39
  4. Step 4: Simplify right side
    138,455.58x = 43,036,494,376.03
  5. Step 5: Solve for x
    x = 43,036,494,376.03/138,455.58
  6. Step 6: Final answer
    x = 310,832.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.