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Finding the Third Proportional to 139,029 and 305,127

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Solution

The third proportional to 139,029 and 305,127 is: 669,662.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,029 : 305,127 = 305,127 : x
  2. Step 2: Convert to fraction form
    139,029/305,127 = 305,127/x
  3. Step 3: Cross multiply
    139,029x = 305,127 × 305,127
  4. Step 4: Simplify right side
    139,029x = 93,102,486,129
  5. Step 5: Solve for x
    x = 93,102,486,129/139,029
  6. Step 6: Final answer
    x = 669,662.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.