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Finding the Third Proportional to 61,733 and 128,308

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Solution

The third proportional to 61,733 and 128,308 is: 266,679.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,733 : 128,308 = 128,308 : x
  2. Step 2: Convert to fraction form
    61,733/128,308 = 128,308/x
  3. Step 3: Cross multiply
    61,733x = 128,308 × 128,308
  4. Step 4: Simplify right side
    61,733x = 16,462,942,864
  5. Step 5: Solve for x
    x = 16,462,942,864/61,733
  6. Step 6: Final answer
    x = 266,679.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.