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Finding the Third Proportional to 136,084 and 211,578

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Solution

The third proportional to 136,084 and 211,578 is: 328,953.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,084 : 211,578 = 211,578 : x
  2. Step 2: Convert to fraction form
    136,084/211,578 = 211,578/x
  3. Step 3: Cross multiply
    136,084x = 211,578 × 211,578
  4. Step 4: Simplify right side
    136,084x = 44,765,250,084
  5. Step 5: Solve for x
    x = 44,765,250,084/136,084
  6. Step 6: Final answer
    x = 328,953.07

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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.