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Finding the Third Proportional to 138,138.38 and 301,954.31

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Solution

The third proportional to 138,138.38 and 301,954.31 is: 660,036.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,138.38 : 301,954.31 = 301,954.31 : x
  2. Step 2: Convert to fraction form
    138,138.38/301,954.31 = 301,954.31/x
  3. Step 3: Cross multiply
    138,138.38x = 301,954.31 × 301,954.31
  4. Step 4: Simplify right side
    138,138.38x = 91,176,406,837.35
  5. Step 5: Solve for x
    x = 91,176,406,837.35/138,138.38
  6. Step 6: Final answer
    x = 660,036.77

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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.