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Finding the Third Proportional to 428,329.50 and 952,400.25

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Solution

The third proportional to 428,329.50 and 952,400.25 is: 2,117,683.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,329.50 : 952,400.25 = 952,400.25 : x
  2. Step 2: Convert to fraction form
    428,329.50/952,400.25 = 952,400.25/x
  3. Step 3: Cross multiply
    428,329.50x = 952,400.25 × 952,400.25
  4. Step 4: Simplify right side
    428,329.50x = 907,066,236,200.06
  5. Step 5: Solve for x
    x = 907,066,236,200.06/428,329.50
  6. Step 6: Final answer
    x = 2,117,683.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.