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Finding the Third Proportional to 136,060.50 and 211,196.25

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Solution

The third proportional to 136,060.50 and 211,196.25 is: 327,823.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,060.50 : 211,196.25 = 211,196.25 : x
  2. Step 2: Convert to fraction form
    136,060.50/211,196.25 = 211,196.25/x
  3. Step 3: Cross multiply
    136,060.50x = 211,196.25 × 211,196.25
  4. Step 4: Simplify right side
    136,060.50x = 44,603,856,014.06
  5. Step 5: Solve for x
    x = 44,603,856,014.06/136,060.50
  6. Step 6: Final answer
    x = 327,823.70

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