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Finding the Third Proportional to 157,791.38 and 221,945.06

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Solution

The third proportional to 157,791.38 and 221,945.06 is: 312,181.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,791.38 : 221,945.06 = 221,945.06 : x
  2. Step 2: Convert to fraction form
    157,791.38/221,945.06 = 221,945.06/x
  3. Step 3: Cross multiply
    157,791.38x = 221,945.06 × 221,945.06
  4. Step 4: Simplify right side
    157,791.38x = 49,259,610,768.13
  5. Step 5: Solve for x
    x = 49,259,610,768.13/157,791.38
  6. Step 6: Final answer
    x = 312,181.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.