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Finding the Third Proportional to 139,372 and 305,432

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Solution

The third proportional to 139,372 and 305,432 is: 669,350.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,372 : 305,432 = 305,432 : x
  2. Step 2: Convert to fraction form
    139,372/305,432 = 305,432/x
  3. Step 3: Cross multiply
    139,372x = 305,432 × 305,432
  4. Step 4: Simplify right side
    139,372x = 93,288,706,624
  5. Step 5: Solve for x
    x = 93,288,706,624/139,372
  6. Step 6: Final answer
    x = 669,350.42

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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.