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Finding the Third Proportional to 398,992.50 and 610,419.38

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Solution

The third proportional to 398,992.50 and 610,419.38 is: 933,881.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,992.50 : 610,419.38 = 610,419.38 : x
  2. Step 2: Convert to fraction form
    398,992.50/610,419.38 = 610,419.38/x
  3. Step 3: Cross multiply
    398,992.50x = 610,419.38 × 610,419.38
  4. Step 4: Simplify right side
    398,992.50x = 372,611,813,375.39
  5. Step 5: Solve for x
    x = 372,611,813,375.39/398,992.50
  6. Step 6: Final answer
    x = 933,881.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.