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Finding the Third Proportional to 309,372 and 656,648

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Solution

The third proportional to 309,372 and 656,648 is: 1,393,747.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,372 : 656,648 = 656,648 : x
  2. Step 2: Convert to fraction form
    309,372/656,648 = 656,648/x
  3. Step 3: Cross multiply
    309,372x = 656,648 × 656,648
  4. Step 4: Simplify right side
    309,372x = 431,186,595,904
  5. Step 5: Solve for x
    x = 431,186,595,904/309,372
  6. Step 6: Final answer
    x = 1,393,747.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.