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Finding the Third Proportional to 136,518.75 and 213,690.38

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Solution

The third proportional to 136,518.75 and 213,690.38 is: 334,485.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,518.75 : 213,690.38 = 213,690.38 : x
  2. Step 2: Convert to fraction form
    136,518.75/213,690.38 = 213,690.38/x
  3. Step 3: Cross multiply
    136,518.75x = 213,690.38 × 213,690.38
  4. Step 4: Simplify right side
    136,518.75x = 45,663,576,367.64
  5. Step 5: Solve for x
    x = 45,663,576,367.64/136,518.75
  6. Step 6: Final answer
    x = 334,485.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.