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Finding the Third Proportional to 459,605 and 686,626

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Solution

The third proportional to 459,605 and 686,626 is: 1,025,783.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,605 : 686,626 = 686,626 : x
  2. Step 2: Convert to fraction form
    459,605/686,626 = 686,626/x
  3. Step 3: Cross multiply
    459,605x = 686,626 × 686,626
  4. Step 4: Simplify right side
    459,605x = 471,455,263,876
  5. Step 5: Solve for x
    x = 471,455,263,876/459,605
  6. Step 6: Final answer
    x = 1,025,783.58

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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.