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Finding the Third Proportional to 149,592 and 320,203

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Solution

The third proportional to 149,592 and 320,203 is: 685,397.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,592 : 320,203 = 320,203 : x
  2. Step 2: Convert to fraction form
    149,592/320,203 = 320,203/x
  3. Step 3: Cross multiply
    149,592x = 320,203 × 320,203
  4. Step 4: Simplify right side
    149,592x = 102,529,961,209
  5. Step 5: Solve for x
    x = 102,529,961,209/149,592
  6. Step 6: Final answer
    x = 685,397.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.