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Finding the Third Proportional to 140,640 and 303,270

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Solution

The third proportional to 140,640 and 303,270 is: 653,958.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,640 : 303,270 = 303,270 : x
  2. Step 2: Convert to fraction form
    140,640/303,270 = 303,270/x
  3. Step 3: Cross multiply
    140,640x = 303,270 × 303,270
  4. Step 4: Simplify right side
    140,640x = 91,972,692,900
  5. Step 5: Solve for x
    x = 91,972,692,900/140,640
  6. Step 6: Final answer
    x = 653,958.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.