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Finding the Third Proportional to 139,385 and 306,904

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Solution

The third proportional to 139,385 and 306,904 is: 675,754.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,385 : 306,904 = 306,904 : x
  2. Step 2: Convert to fraction form
    139,385/306,904 = 306,904/x
  3. Step 3: Cross multiply
    139,385x = 306,904 × 306,904
  4. Step 4: Simplify right side
    139,385x = 94,190,065,216
  5. Step 5: Solve for x
    x = 94,190,065,216/139,385
  6. Step 6: Final answer
    x = 675,754.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.