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Finding the Third Proportional to 139,391 and 305,458

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Solution

The third proportional to 139,391 and 305,458 is: 669,373.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,391 : 305,458 = 305,458 : x
  2. Step 2: Convert to fraction form
    139,391/305,458 = 305,458/x
  3. Step 3: Cross multiply
    139,391x = 305,458 × 305,458
  4. Step 4: Simplify right side
    139,391x = 93,304,589,764
  5. Step 5: Solve for x
    x = 93,304,589,764/139,391
  6. Step 6: Final answer
    x = 669,373.13

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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.