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Finding the Third Proportional to 157,614.75 and 342,021.38

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Solution

The third proportional to 157,614.75 and 342,021.38 is: 742,180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,614.75 : 342,021.38 = 342,021.38 : x
  2. Step 2: Convert to fraction form
    157,614.75/342,021.38 = 342,021.38/x
  3. Step 3: Cross multiply
    157,614.75x = 342,021.38 × 342,021.38
  4. Step 4: Simplify right side
    157,614.75x = 116,978,620,956.89
  5. Step 5: Solve for x
    x = 116,978,620,956.89/157,614.75
  6. Step 6: Final answer
    x = 742,180.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.