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Finding the Third Proportional to 157,781 and 342,011

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Solution

The third proportional to 157,781 and 342,011 is: 741,353.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,781 : 342,011 = 342,011 : x
  2. Step 2: Convert to fraction form
    157,781/342,011 = 342,011/x
  3. Step 3: Cross multiply
    157,781x = 342,011 × 342,011
  4. Step 4: Simplify right side
    157,781x = 116,971,524,121
  5. Step 5: Solve for x
    x = 116,971,524,121/157,781
  6. Step 6: Final answer
    x = 741,353.67

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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.