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Finding the Third Proportional to 128,039 and 169,905

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Solution

The third proportional to 128,039 and 169,905 is: 225,460.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,039 : 169,905 = 169,905 : x
  2. Step 2: Convert to fraction form
    128,039/169,905 = 169,905/x
  3. Step 3: Cross multiply
    128,039x = 169,905 × 169,905
  4. Step 4: Simplify right side
    128,039x = 28,867,709,025
  5. Step 5: Solve for x
    x = 28,867,709,025/128,039
  6. Step 6: Final answer
    x = 225,460.28

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.