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Finding the Third Proportional to 390,989.25 and 913,467.38

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Solution

The third proportional to 390,989.25 and 913,467.38 is: 2,134,131.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,989.25 : 913,467.38 = 913,467.38 : x
  2. Step 2: Convert to fraction form
    390,989.25/913,467.38 = 913,467.38/x
  3. Step 3: Cross multiply
    390,989.25x = 913,467.38 × 913,467.38
  4. Step 4: Simplify right side
    390,989.25x = 834,422,645,189.39
  5. Step 5: Solve for x
    x = 834,422,645,189.39/390,989.25
  6. Step 6: Final answer
    x = 2,134,131.94

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.