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Finding the Third Proportional to 136,289 and 211,297.50

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Solution

The third proportional to 136,289 and 211,297.50 is: 327,587.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,289 : 211,297.50 = 211,297.50 : x
  2. Step 2: Convert to fraction form
    136,289/211,297.50 = 211,297.50/x
  3. Step 3: Cross multiply
    136,289x = 211,297.50 × 211,297.50
  4. Step 4: Simplify right side
    136,289x = 44,646,633,506.25
  5. Step 5: Solve for x
    x = 44,646,633,506.25/136,289
  6. Step 6: Final answer
    x = 327,587.95

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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.