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Finding the Third Proportional to 65,694 and 140,511

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Solution

The third proportional to 65,694 and 140,511 is: 300,534.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,694 : 140,511 = 140,511 : x
  2. Step 2: Convert to fraction form
    65,694/140,511 = 140,511/x
  3. Step 3: Cross multiply
    65,694x = 140,511 × 140,511
  4. Step 4: Simplify right side
    65,694x = 19,743,341,121
  5. Step 5: Solve for x
    x = 19,743,341,121/65,694
  6. Step 6: Final answer
    x = 300,534.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.