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Finding the Third Proportional to 134,989 and 209,558

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Solution

The third proportional to 134,989 and 209,558 is: 325,319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,989 : 209,558 = 209,558 : x
  2. Step 2: Convert to fraction form
    134,989/209,558 = 209,558/x
  3. Step 3: Cross multiply
    134,989x = 209,558 × 209,558
  4. Step 4: Simplify right side
    134,989x = 43,914,555,364
  5. Step 5: Solve for x
    x = 43,914,555,364/134,989
  6. Step 6: Final answer
    x = 325,319.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.