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Finding the Third Proportional to 66,692 and 140,890

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Solution

The third proportional to 66,692 and 140,890 is: 297,636.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,692 : 140,890 = 140,890 : x
  2. Step 2: Convert to fraction form
    66,692/140,890 = 140,890/x
  3. Step 3: Cross multiply
    66,692x = 140,890 × 140,890
  4. Step 4: Simplify right side
    66,692x = 19,849,992,100
  5. Step 5: Solve for x
    x = 19,849,992,100/66,692
  6. Step 6: Final answer
    x = 297,636.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.