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Finding the Third Proportional to 214,431.25 and 315,409.75

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Solution

The third proportional to 214,431.25 and 315,409.75 is: 463,940.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,431.25 : 315,409.75 = 315,409.75 : x
  2. Step 2: Convert to fraction form
    214,431.25/315,409.75 = 315,409.75/x
  3. Step 3: Cross multiply
    214,431.25x = 315,409.75 × 315,409.75
  4. Step 4: Simplify right side
    214,431.25x = 99,483,310,395.06
  5. Step 5: Solve for x
    x = 99,483,310,395.06/214,431.25
  6. Step 6: Final answer
    x = 463,940.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.