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Finding the Third Proportional to 72,209 and 108,629

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Solution

The third proportional to 72,209 and 108,629 is: 163,418.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,209 : 108,629 = 108,629 : x
  2. Step 2: Convert to fraction form
    72,209/108,629 = 108,629/x
  3. Step 3: Cross multiply
    72,209x = 108,629 × 108,629
  4. Step 4: Simplify right side
    72,209x = 11,800,259,641
  5. Step 5: Solve for x
    x = 11,800,259,641/72,209
  6. Step 6: Final answer
    x = 163,418.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.