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Finding the Third Proportional to 64,633 and 136,717

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Solution

The third proportional to 64,633 and 136,717 is: 289,194.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,633 : 136,717 = 136,717 : x
  2. Step 2: Convert to fraction form
    64,633/136,717 = 136,717/x
  3. Step 3: Cross multiply
    64,633x = 136,717 × 136,717
  4. Step 4: Simplify right side
    64,633x = 18,691,538,089
  5. Step 5: Solve for x
    x = 18,691,538,089/64,633
  6. Step 6: Final answer
    x = 289,194.96

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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.