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Finding the Third Proportional to 207,285 and 320,090

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Solution

The third proportional to 207,285 and 320,090 is: 494,283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,285 : 320,090 = 320,090 : x
  2. Step 2: Convert to fraction form
    207,285/320,090 = 320,090/x
  3. Step 3: Cross multiply
    207,285x = 320,090 × 320,090
  4. Step 4: Simplify right side
    207,285x = 102,457,608,100
  5. Step 5: Solve for x
    x = 102,457,608,100/207,285
  6. Step 6: Final answer
    x = 494,283.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.