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Finding the Third Proportional to 143,696 and 310,336

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Solution

The third proportional to 143,696 and 310,336 is: 670,223.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,696 : 310,336 = 310,336 : x
  2. Step 2: Convert to fraction form
    143,696/310,336 = 310,336/x
  3. Step 3: Cross multiply
    143,696x = 310,336 × 310,336
  4. Step 4: Simplify right side
    143,696x = 96,308,432,896
  5. Step 5: Solve for x
    x = 96,308,432,896/143,696
  6. Step 6: Final answer
    x = 670,223.48

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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.