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Finding the Third Proportional to 157,640 and 335,728

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Solution

The third proportional to 157,640 and 335,728 is: 715,004.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,640 : 335,728 = 335,728 : x
  2. Step 2: Convert to fraction form
    157,640/335,728 = 335,728/x
  3. Step 3: Cross multiply
    157,640x = 335,728 × 335,728
  4. Step 4: Simplify right side
    157,640x = 112,713,289,984
  5. Step 5: Solve for x
    x = 112,713,289,984/157,640
  6. Step 6: Final answer
    x = 715,004.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.