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Finding the Third Proportional to 136,255.50 and 205,611.75

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Solution

The third proportional to 136,255.50 and 205,611.75 is: 310,271.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,255.50 : 205,611.75 = 205,611.75 : x
  2. Step 2: Convert to fraction form
    136,255.50/205,611.75 = 205,611.75/x
  3. Step 3: Cross multiply
    136,255.50x = 205,611.75 × 205,611.75
  4. Step 4: Simplify right side
    136,255.50x = 42,276,191,738.06
  5. Step 5: Solve for x
    x = 42,276,191,738.06/136,255.50
  6. Step 6: Final answer
    x = 310,271.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.