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Finding the Third Proportional to 146,640 and 319,608

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Solution

The third proportional to 146,640 and 319,608 is: 696,598.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,640 : 319,608 = 319,608 : x
  2. Step 2: Convert to fraction form
    146,640/319,608 = 319,608/x
  3. Step 3: Cross multiply
    146,640x = 319,608 × 319,608
  4. Step 4: Simplify right side
    146,640x = 102,149,273,664
  5. Step 5: Solve for x
    x = 102,149,273,664/146,640
  6. Step 6: Final answer
    x = 696,598.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.