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Finding the Third Proportional to 138,514.88 and 303,303.38

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Solution

The third proportional to 138,514.88 and 303,303.38 is: 664,137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,514.88 : 303,303.38 = 303,303.38 : x
  2. Step 2: Convert to fraction form
    138,514.88/303,303.38 = 303,303.38/x
  3. Step 3: Cross multiply
    138,514.88x = 303,303.38 × 303,303.38
  4. Step 4: Simplify right side
    138,514.88x = 91,992,937,286.39
  5. Step 5: Solve for x
    x = 91,992,937,286.39/138,514.88
  6. Step 6: Final answer
    x = 664,137.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.