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Finding the Third Proportional to 59,722 and 128,767

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Solution

The third proportional to 59,722 and 128,767 is: 277,635.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,722 : 128,767 = 128,767 : x
  2. Step 2: Convert to fraction form
    59,722/128,767 = 128,767/x
  3. Step 3: Cross multiply
    59,722x = 128,767 × 128,767
  4. Step 4: Simplify right side
    59,722x = 16,580,940,289
  5. Step 5: Solve for x
    x = 16,580,940,289/59,722
  6. Step 6: Final answer
    x = 277,635.38

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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.