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Finding the Third Proportional to 279,710 and 603,646

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Solution

The third proportional to 279,710 and 603,646 is: 1,302,736.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,710 : 603,646 = 603,646 : x
  2. Step 2: Convert to fraction form
    279,710/603,646 = 603,646/x
  3. Step 3: Cross multiply
    279,710x = 603,646 × 603,646
  4. Step 4: Simplify right side
    279,710x = 364,388,493,316
  5. Step 5: Solve for x
    x = 364,388,493,316/279,710
  6. Step 6: Final answer
    x = 1,302,736.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.