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Finding the Third Proportional to 136,496 and 209,092

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Solution

The third proportional to 136,496 and 209,092 is: 320,298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,496 : 209,092 = 209,092 : x
  2. Step 2: Convert to fraction form
    136,496/209,092 = 209,092/x
  3. Step 3: Cross multiply
    136,496x = 209,092 × 209,092
  4. Step 4: Simplify right side
    136,496x = 43,719,464,464
  5. Step 5: Solve for x
    x = 43,719,464,464/136,496
  6. Step 6: Final answer
    x = 320,298.50

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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.