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Finding the Third Proportional to 136,502 and 209,100

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Solution

The third proportional to 136,502 and 209,100 is: 320,308.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,502 : 209,100 = 209,100 : x
  2. Step 2: Convert to fraction form
    136,502/209,100 = 209,100/x
  3. Step 3: Cross multiply
    136,502x = 209,100 × 209,100
  4. Step 4: Simplify right side
    136,502x = 43,722,810,000
  5. Step 5: Solve for x
    x = 43,722,810,000/136,502
  6. Step 6: Final answer
    x = 320,308.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.