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Finding the Third Proportional to 157,731 and 342,084

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Solution

The third proportional to 157,731 and 342,084 is: 741,905.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,731 : 342,084 = 342,084 : x
  2. Step 2: Convert to fraction form
    157,731/342,084 = 342,084/x
  3. Step 3: Cross multiply
    157,731x = 342,084 × 342,084
  4. Step 4: Simplify right side
    157,731x = 117,021,463,056
  5. Step 5: Solve for x
    x = 117,021,463,056/157,731
  6. Step 6: Final answer
    x = 741,905.29

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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.