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Finding the Third Proportional to 139,462 and 305,545

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Solution

The third proportional to 139,462 and 305,545 is: 669,413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,462 : 305,545 = 305,545 : x
  2. Step 2: Convert to fraction form
    139,462/305,545 = 305,545/x
  3. Step 3: Cross multiply
    139,462x = 305,545 × 305,545
  4. Step 4: Simplify right side
    139,462x = 93,357,747,025
  5. Step 5: Solve for x
    x = 93,357,747,025/139,462
  6. Step 6: Final answer
    x = 669,413.51

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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.