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Finding the Third Proportional to 65,000 and 140,661

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Solution

The third proportional to 65,000 and 140,661 is: 304,392.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,000 : 140,661 = 140,661 : x
  2. Step 2: Convert to fraction form
    65,000/140,661 = 140,661/x
  3. Step 3: Cross multiply
    65,000x = 140,661 × 140,661
  4. Step 4: Simplify right side
    65,000x = 19,785,516,921
  5. Step 5: Solve for x
    x = 19,785,516,921/65,000
  6. Step 6: Final answer
    x = 304,392.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.