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Finding the Third Proportional to 146,440 and 319,736

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Solution

The third proportional to 146,440 and 319,736 is: 698,109.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,440 : 319,736 = 319,736 : x
  2. Step 2: Convert to fraction form
    146,440/319,736 = 319,736/x
  3. Step 3: Cross multiply
    146,440x = 319,736 × 319,736
  4. Step 4: Simplify right side
    146,440x = 102,231,109,696
  5. Step 5: Solve for x
    x = 102,231,109,696/146,440
  6. Step 6: Final answer
    x = 698,109.19

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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.