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Finding the Third Proportional to 459,508 and 686,508

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Solution

The third proportional to 459,508 and 686,508 is: 1,025,647.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,508 : 686,508 = 686,508 : x
  2. Step 2: Convert to fraction form
    459,508/686,508 = 686,508/x
  3. Step 3: Cross multiply
    459,508x = 686,508 × 686,508
  4. Step 4: Simplify right side
    459,508x = 471,293,234,064
  5. Step 5: Solve for x
    x = 471,293,234,064/459,508
  6. Step 6: Final answer
    x = 1,025,647.51

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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.