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Finding the Third Proportional to 140,934 and 305,484

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Solution

The third proportional to 140,934 and 305,484 is: 662,157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,934 : 305,484 = 305,484 : x
  2. Step 2: Convert to fraction form
    140,934/305,484 = 305,484/x
  3. Step 3: Cross multiply
    140,934x = 305,484 × 305,484
  4. Step 4: Simplify right side
    140,934x = 93,320,474,256
  5. Step 5: Solve for x
    x = 93,320,474,256/140,934
  6. Step 6: Final answer
    x = 662,157.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.