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Finding the Third Proportional to 140,174 and 305,692

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Solution

The third proportional to 140,174 and 305,692 is: 666,654.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,174 : 305,692 = 305,692 : x
  2. Step 2: Convert to fraction form
    140,174/305,692 = 305,692/x
  3. Step 3: Cross multiply
    140,174x = 305,692 × 305,692
  4. Step 4: Simplify right side
    140,174x = 93,447,598,864
  5. Step 5: Solve for x
    x = 93,447,598,864/140,174
  6. Step 6: Final answer
    x = 666,654.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.