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Finding the Third Proportional to 64,591 and 136,999

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Solution

The third proportional to 64,591 and 136,999 is: 290,578.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,591 : 136,999 = 136,999 : x
  2. Step 2: Convert to fraction form
    64,591/136,999 = 136,999/x
  3. Step 3: Cross multiply
    64,591x = 136,999 × 136,999
  4. Step 4: Simplify right side
    64,591x = 18,768,726,001
  5. Step 5: Solve for x
    x = 18,768,726,001/64,591
  6. Step 6: Final answer
    x = 290,578.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.