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Finding the Third Proportional to 207,288 and 320,094

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Solution

The third proportional to 207,288 and 320,094 is: 494,288.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,288 : 320,094 = 320,094 : x
  2. Step 2: Convert to fraction form
    207,288/320,094 = 320,094/x
  3. Step 3: Cross multiply
    207,288x = 320,094 × 320,094
  4. Step 4: Simplify right side
    207,288x = 102,460,168,836
  5. Step 5: Solve for x
    x = 102,460,168,836/207,288
  6. Step 6: Final answer
    x = 494,288.95

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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.