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Finding the Third Proportional to 419,634 and 665,491

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Solution

The third proportional to 419,634 and 665,491 is: 1,055,391.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,634 : 665,491 = 665,491 : x
  2. Step 2: Convert to fraction form
    419,634/665,491 = 665,491/x
  3. Step 3: Cross multiply
    419,634x = 665,491 × 665,491
  4. Step 4: Simplify right side
    419,634x = 442,878,271,081
  5. Step 5: Solve for x
    x = 442,878,271,081/419,634
  6. Step 6: Final answer
    x = 1,055,391.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.