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Finding the Third Proportional to 136,288 and 209,344

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Solution

The third proportional to 136,288 and 209,344 is: 321,561.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,288 : 209,344 = 209,344 : x
  2. Step 2: Convert to fraction form
    136,288/209,344 = 209,344/x
  3. Step 3: Cross multiply
    136,288x = 209,344 × 209,344
  4. Step 4: Simplify right side
    136,288x = 43,824,910,336
  5. Step 5: Solve for x
    x = 43,824,910,336/136,288
  6. Step 6: Final answer
    x = 321,561.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.