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Finding the Third Proportional to 64,995 and 140,651

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Solution

The third proportional to 64,995 and 140,651 is: 304,372.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,995 : 140,651 = 140,651 : x
  2. Step 2: Convert to fraction form
    64,995/140,651 = 140,651/x
  3. Step 3: Cross multiply
    64,995x = 140,651 × 140,651
  4. Step 4: Simplify right side
    64,995x = 19,782,703,801
  5. Step 5: Solve for x
    x = 19,782,703,801/64,995
  6. Step 6: Final answer
    x = 304,372.70

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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.