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Finding the Third Proportional to 139,494 and 305,070

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Solution

The third proportional to 139,494 and 305,070 is: 667,180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,494 : 305,070 = 305,070 : x
  2. Step 2: Convert to fraction form
    139,494/305,070 = 305,070/x
  3. Step 3: Cross multiply
    139,494x = 305,070 × 305,070
  4. Step 4: Simplify right side
    139,494x = 93,067,704,900
  5. Step 5: Solve for x
    x = 93,067,704,900/139,494
  6. Step 6: Final answer
    x = 667,180.70

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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.