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Finding the Third Proportional to 138,107.34 and 215,554.97

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Solution

The third proportional to 138,107.34 and 215,554.97 is: 336,433.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,107.34 : 215,554.97 = 215,554.97 : x
  2. Step 2: Convert to fraction form
    138,107.34/215,554.97 = 215,554.97/x
  3. Step 3: Cross multiply
    138,107.34x = 215,554.97 × 215,554.97
  4. Step 4: Simplify right side
    138,107.34x = 46,463,944,552.81
  5. Step 5: Solve for x
    x = 46,463,944,552.81/138,107.34
  6. Step 6: Final answer
    x = 336,433.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.