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Finding the Third Proportional to 459,600 and 686,619

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Solution

The third proportional to 459,600 and 686,619 is: 1,025,773.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,600 : 686,619 = 686,619 : x
  2. Step 2: Convert to fraction form
    459,600/686,619 = 686,619/x
  3. Step 3: Cross multiply
    459,600x = 686,619 × 686,619
  4. Step 4: Simplify right side
    459,600x = 471,445,651,161
  5. Step 5: Solve for x
    x = 471,445,651,161/459,600
  6. Step 6: Final answer
    x = 1,025,773.83

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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.