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Finding the Third Proportional to 139,516 and 305,114

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Solution

The third proportional to 139,516 and 305,114 is: 667,267.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,516 : 305,114 = 305,114 : x
  2. Step 2: Convert to fraction form
    139,516/305,114 = 305,114/x
  3. Step 3: Cross multiply
    139,516x = 305,114 × 305,114
  4. Step 4: Simplify right side
    139,516x = 93,094,552,996
  5. Step 5: Solve for x
    x = 93,094,552,996/139,516
  6. Step 6: Final answer
    x = 667,267.93

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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.