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Finding the Third Proportional to 136,309 and 206,915

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Solution

The third proportional to 136,309 and 206,915 is: 314,093.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,309 : 206,915 = 206,915 : x
  2. Step 2: Convert to fraction form
    136,309/206,915 = 206,915/x
  3. Step 3: Cross multiply
    136,309x = 206,915 × 206,915
  4. Step 4: Simplify right side
    136,309x = 42,813,817,225
  5. Step 5: Solve for x
    x = 42,813,817,225/136,309
  6. Step 6: Final answer
    x = 314,093.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.