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Finding the Third Proportional to 459,504 and 686,496

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Solution

The third proportional to 459,504 and 686,496 is: 1,025,620.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,504 : 686,496 = 686,496 : x
  2. Step 2: Convert to fraction form
    459,504/686,496 = 686,496/x
  3. Step 3: Cross multiply
    459,504x = 686,496 × 686,496
  4. Step 4: Simplify right side
    459,504x = 471,276,758,016
  5. Step 5: Solve for x
    x = 471,276,758,016/459,504
  6. Step 6: Final answer
    x = 1,025,620.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.