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Finding the Third Proportional to 398,173 and 862,761

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Solution

The third proportional to 398,173 and 862,761 is: 1,869,429.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,173 : 862,761 = 862,761 : x
  2. Step 2: Convert to fraction form
    398,173/862,761 = 862,761/x
  3. Step 3: Cross multiply
    398,173x = 862,761 × 862,761
  4. Step 4: Simplify right side
    398,173x = 744,356,543,121
  5. Step 5: Solve for x
    x = 744,356,543,121/398,173
  6. Step 6: Final answer
    x = 1,869,429.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.