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Finding the Third Proportional to 136,323 and 211,410

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Solution

The third proportional to 136,323 and 211,410 is: 327,855.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,323 : 211,410 = 211,410 : x
  2. Step 2: Convert to fraction form
    136,323/211,410 = 211,410/x
  3. Step 3: Cross multiply
    136,323x = 211,410 × 211,410
  4. Step 4: Simplify right side
    136,323x = 44,694,188,100
  5. Step 5: Solve for x
    x = 44,694,188,100/136,323
  6. Step 6: Final answer
    x = 327,855.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.