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Finding the Third Proportional to 140,321 and 310,174

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Solution

The third proportional to 140,321 and 310,174 is: 685,627.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,321 : 310,174 = 310,174 : x
  2. Step 2: Convert to fraction form
    140,321/310,174 = 310,174/x
  3. Step 3: Cross multiply
    140,321x = 310,174 × 310,174
  4. Step 4: Simplify right side
    140,321x = 96,207,910,276
  5. Step 5: Solve for x
    x = 96,207,910,276/140,321
  6. Step 6: Final answer
    x = 685,627.31

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.